Maths-
General
Easy

Question

There are 12 balls numbered from 1 to 12 The number of ways in which they can be used to fill 8 places in a row is:

  1. C presuperscript 12 subscript 8
  2. P presuperscript 12 subscript 8
  3. 2 cross times to the power of 12 P subscript 8
  4. 2 cross times to the power of 12 C subscript 8

Hint:

In the question we not only have to choose 8 balls from the 12 balls which are numbered but also we have to fill them in 8 places, So, we have to use the formula P presuperscript n subscript r.

The correct answer is: P presuperscript 12 subscript 8


    As we have to fill 8 places from 12 balls numbered 1 to 12.
    So, the number of ways = P presuperscript 12 subscript 8

    Book A Free Demo

    +91

    Grade*

    Related Questions to study

    General
    Maths-

    If left parenthesis n plus 1 right parenthesis P subscript 5 colon to the power of n P subscript 5 equals 3 colon 2 then n is :

    If left parenthesis n plus 1 right parenthesis P subscript 5 colon to the power of n P subscript 5 equals 3 colon 2 then n is :

    Maths-General
    General
    Maths-

    If blank to the power of n P subscript 5 equals to the power of n P subscript 6  then n is :

    If blank to the power of n P subscript 5 equals to the power of n P subscript 6  then n is :

    Maths-General
    General
    Maths-

    If blank to the power of 10 P subscript r equals 5040 then r is :

    If blank to the power of 10 P subscript r equals 5040 then r is :

    Maths-General
    General
    biology

    In the figure given below, which blood vessel represents vena cava?

    In the figure given below, which blood vessel represents vena cava?

    biologyGeneral
    General
    biology

    Match the types of WBC listed under Column - I with the shape of nucleus given under Column - II and select the correct option from codes given below.

    Match the types of WBC listed under Column - I with the shape of nucleus given under Column - II and select the correct option from codes given below.

    biologyGeneral
    General
    Maths-

    The number of ways in which four letters can put in four addressed envelopes so that no letter goes into the envelope meant for it is :

    The number of ways in which four letters can put in four addressed envelopes so that no letter goes into the envelope meant for it is :

    Maths-General
    General
    biology

    In the given figure of the heart which of the labelled part (1, 2, 3, 4, 5) carries oxygenated blood?

    In the given figure of the heart which of the labelled part (1, 2, 3, 4, 5) carries oxygenated blood?

    biologyGeneral
    General
    biology

    The given figure shows an angiogram of the coronary blood vessel. Which one of the following statements correctly describes, what is being done?

    The given figure shows an angiogram of the coronary blood vessel. Which one of the following statements correctly describes, what is being done?

    biologyGeneral
    General
    Maths-

    There are 3 letters and 3 addressed envelopes corresponding to them. The number of ways in which the letters be placed in the envelopes so that no letter is in the right envelope is :

    There are 3 letters and 3 addressed envelopes corresponding to them. The number of ways in which the letters be placed in the envelopes so that no letter is in the right envelope is :

    Maths-General
    General
    biology

    Match Column - I with Column - II and select the correct option from the codes give below.

    Match Column - I with Column - II and select the correct option from the codes give below.

    biologyGeneral
    General
    Maths-

    The sum of all the numbers formed by taking all the digits from 3,4,5,6,7 is:

    The sum of all the numbers formed by taking all the digits from 3,4,5,6,7 is:

    Maths-General
    General
    Maths-

    The sum of all the numbers formed by taking all the digits from 2,3,4,5 is:

    The number of numbers having 2 in the unit place= 3! =6
    The number of numbers having 3 in the unit place= 3! =6
    The number of numbers having 4 in the unit place= 3! =6
    The number of numbers having 5 in the unit place= 3! =6
    So the sum of the digits in the unit place of all the numbers=2 cross times 6 plus 3 cross times 6 plus 4 cross times 6 plus 5 cross times 6
    =12+18+24+30
    =84
    Similarly the sum of the digits of all the numbers in each of the other places=84
    The required sum =84 cross times 1000 plus 84 cross times 100 plus 84 cross times 10 plus 84
    =84(1000+100+10+1)
    =84cross times 1111
    =93324

    The sum of all the numbers formed by taking all the digits from 2,3,4,5 is:

    Maths-General
    The number of numbers having 2 in the unit place= 3! =6
    The number of numbers having 3 in the unit place= 3! =6
    The number of numbers having 4 in the unit place= 3! =6
    The number of numbers having 5 in the unit place= 3! =6
    So the sum of the digits in the unit place of all the numbers=2 cross times 6 plus 3 cross times 6 plus 4 cross times 6 plus 5 cross times 6
    =12+18+24+30
    =84
    Similarly the sum of the digits of all the numbers in each of the other places=84
    The required sum =84 cross times 1000 plus 84 cross times 100 plus 84 cross times 10 plus 84
    =84(1000+100+10+1)
    =84cross times 1111
    =93324
    General
    Maths-

    The number of constant mappings from A equals left curly bracket 1 comma 2 comma 3 comma 4 horizontal ellipsis horizontal ellipsis comma n right curly bracket to B equals left curly bracket a comma b right curly bracket is

    The number of constant mappings from A equals left curly bracket 1 comma 2 comma 3 comma 4 horizontal ellipsis horizontal ellipsis comma n right curly bracket to B equals left curly bracket a comma b right curly bracket is

    Maths-General
    General
    Maths-

    The number of many one functions from A equals left curly bracket 1 comma 2 comma 3 right curly bracket text  to  end text B equals left curly bracket a comma b comma c comma d right curly bracket is

    The number of many one functions from A equals left curly bracket 1 comma 2 comma 3 right curly bracket text  to  end text B equals left curly bracket a comma b comma c comma d right curly bracket is

    Maths-General
    General
    Maths-

    The number of into functions that can be defined from A equals left curly bracket x comma y comma z comma w comma t right curly bracket text  to  end text bold italic B equals left curly bracket bold italic alpha comma bold italic beta comma bold italic gamma right curly bracket is

     

    The number of into functions that can be defined from A equals left curly bracket x comma y comma z comma w comma t right curly bracket text  to  end text bold italic B equals left curly bracket bold italic alpha comma bold italic beta comma bold italic gamma right curly bracket is

     

    Maths-General