Maths-
General
Easy

Question

nCr + 2nCr+1 + nCr+2 is equal to (2  less or equal thanless or equal than n)

  1. 2 . nCr+2    
  2. n+1Cr+1    
  3. n+2Cr+2    
  4. none of these    

The correct answer is: n+2Cr+2

Related Questions to study

General
maths-

The coefficient of x to the power of n in fraction numerator x plus 1 over denominator left parenthesis x minus 1 right parenthesis squared left parenthesis x minus 2 right parenthesis end fraction is

The coefficient of x to the power of n in fraction numerator x plus 1 over denominator left parenthesis x minus 1 right parenthesis squared left parenthesis x minus 2 right parenthesis end fraction is

maths-General
General
Maths-

How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which not two S are adjacent ?

The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is equals 7 cross times space C presuperscript 6 subscript 4 cross times C presuperscript 8 subscript 4.

How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which not two S are adjacent ?

Maths-General

The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is equals 7 cross times space C presuperscript 6 subscript 4 cross times C presuperscript 8 subscript 4.

General
Maths-

The value of 50C4 + not stretchy sum subscript r equals 1 end subscript superscript 6 end superscript 56 minus r C subscript 3 end subscriptis -

The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is C presuperscript 56 subscript 4.

The value of 50C4 + not stretchy sum subscript r equals 1 end subscript superscript 6 end superscript 56 minus r C subscript 3 end subscriptis -

Maths-General

The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is C presuperscript 56 subscript 4.

parallel
General
Maths-

The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is-

The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is 21.

The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is-

Maths-General

The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is 21.

General
physics-

A mass of 100 blank g strikes the wall with speed 5 blank m divided by s at an angle as shown in figure and it rebounds with the same speed. If the contact time is 2 cross times 10 to the power of negative 3 end exponent s e c, what is the force applied on the mass by the wall

A mass of 100 blank g strikes the wall with speed 5 blank m divided by s at an angle as shown in figure and it rebounds with the same speed. If the contact time is 2 cross times 10 to the power of negative 3 end exponent s e c, what is the force applied on the mass by the wall

physics-General
General
maths-

If the locus of the mid points of the chords of the ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1, drawn parallel to y equals m subscript 1 end subscript x is y equals m subscript 2 end subscript x then m subscript 1 end subscript m subscript 2 end subscript equals

If the locus of the mid points of the chords of the ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1, drawn parallel to y equals m subscript 1 end subscript x is y equals m subscript 2 end subscript x then m subscript 1 end subscript m subscript 2 end subscript equals

maths-General
parallel
General
Maths-

If nCr denotes the number of combinations of n things taken r at a time, then the expression nCr+1 + nCr –1 + 2 × nCr equals-

The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is C presuperscript n plus 2 end presuperscript subscript r plus 1 end subscript.

If nCr denotes the number of combinations of n things taken r at a time, then the expression nCr+1 + nCr –1 + 2 × nCr equals-

Maths-General

The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is C presuperscript n plus 2 end presuperscript subscript r plus 1 end subscript.

General
maths-

The number of ways is which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question is -

The number of ways is which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question is -

maths-General
General
physics-

An intense stream of water of cross-sectional area A strikes a wall at an angle theta with the normal to the wall and returns back elastically. If the density of water is rho and its velocity is v,then the force exerted in the wall will be

An intense stream of water of cross-sectional area A strikes a wall at an angle theta with the normal to the wall and returns back elastically. If the density of water is rho and its velocity is v,then the force exerted in the wall will be

physics-General
parallel
General
physics-

The force required to stretch a spring varies with the distance as shown in the figure. If the experiment is performed with above spring of half length, the line O A will

The force required to stretch a spring varies with the distance as shown in the figure. If the experiment is performed with above spring of half length, the line O A will

physics-General
General
physics-

Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are vand 2 v, respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at A, these two particles will again reach the point A

Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are vand 2 v, respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at A, these two particles will again reach the point A

physics-General
General
maths-

In a model, it is shown that an arch of abridge is semi-elliptical with major axis horizontal. If the length of the base is 9 m and the highest part of the bridge is 3 m from the horizontal, the best approximation of the height of the arch, 2 m from the centre of the base is

In a model, it is shown that an arch of abridge is semi-elliptical with major axis horizontal. If the length of the base is 9 m and the highest part of the bridge is 3 m from the horizontal, the best approximation of the height of the arch, 2 m from the centre of the base is

maths-General
parallel
General
maths-

The number of non-negative integral solutions of x + y + z  n, where n  N is -

The number of non-negative integral solutions of x + y + z  n, where n  N is -

maths-General
General
maths-

Between two junction stations A and B there are 12 intermediate stations. The number of ways in which a train can be made to stop at 4 of these stations so that no two of these halting stations are consecutive is -

Between two junction stations A and B there are 12 intermediate stations. The number of ways in which a train can be made to stop at 4 of these stations so that no two of these halting stations are consecutive is -

maths-General
General
maths-

If n objects are arranged in a row, then the number of ways of selecting three of these objects so that no two of them are next to each other is -

If n objects are arranged in a row, then the number of ways of selecting three of these objects so that no two of them are next to each other is -

maths-General
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.