Maths-

General

Easy

Question

# The total numbers of integral solutions for (x,y,z) such that xyz = 24 is

- 36
- 90
- 96
- 120

## The correct answer is: 120

### 24 can be broken as (1, 1, 24),(1, 2, 12),(1, 3, 8),(1, 4, 6),(2, 3, 4) & (2, 2, 6)

All sets in which each no. is diff = ^{3}C_{2}. 3! + 3!= 24

in which two nos. are same =

total no. of possible sets= 24 × 4 + 12 × 2 = 120

### Related Questions to study

maths-

### Number of ways in which 5 different toys can be distributed among 5 children if exactly one child do not get any toy

### Number of ways in which 5 different toys can be distributed among 5 children if exactly one child do not get any toy

maths-General

maths-

### A seven digit number is in form of abcdefg (g, f, e, etc. are digits at units, tens, hundred place etc.) where a < b < c < d > e > f > g. The number of such numbers are

### A seven digit number is in form of abcdefg (g, f, e, etc. are digits at units, tens, hundred place etc.) where a < b < c < d > e > f > g. The number of such numbers are

maths-General

maths-

### Number of ways in which 25 identical balls can be distributed among Ram, Shyam, Sunder and Ghanshyam such that atleast 1, 2, 3, and 4 balls are given to Ram, Shyam, Sunder and Ghanshyam respectively, is-

### Number of ways in which 25 identical balls can be distributed among Ram, Shyam, Sunder and Ghanshyam such that atleast 1, 2, 3, and 4 balls are given to Ram, Shyam, Sunder and Ghanshyam respectively, is-

maths-General

maths-

### One hundred identical marbles are to be distributed to three children so that each gets atlest 20 and no two get equal number. The number of ways of doing this is -

### One hundred identical marbles are to be distributed to three children so that each gets atlest 20 and no two get equal number. The number of ways of doing this is -

maths-General

maths-

### The number of five-digit telephone numbers having at least one of their digits repeated is

### The number of five-digit telephone numbers having at least one of their digits repeated is

maths-General

maths-

### The maximum value of P such that 3^{P} divides 99 × 97 × 95 × .... × 51 is-

### The maximum value of P such that 3^{P} divides 99 × 97 × 95 × .... × 51 is-

maths-General

maths-

### If for , then

### If for , then

maths-General

maths-

### The largest value of r satisfying inequality ^{20}C_{r }^{20}C_{r}_{ – 1 }is -

### The largest value of r satisfying inequality ^{20}C_{r }^{20}C_{r}_{ – 1 }is -

maths-General

maths-

### A double decker bus can accommodate (u + ) passengers, u in the upper deck and in the lower deck. The number of ways in which the (u + ) passengers can be distributed in the two decks, if r () particular passengers refuse to go in the upper deck and S(u) refuse to sit in the lower deck, is -

### A double decker bus can accommodate (u + ) passengers, u in the upper deck and in the lower deck. The number of ways in which the (u + ) passengers can be distributed in the two decks, if r () particular passengers refuse to go in the upper deck and S(u) refuse to sit in the lower deck, is -

maths-General

maths-

### Domain of f(x) = log_{10}(log_{10}(1 + x^{3})) is -

### Domain of f(x) = log_{10}(log_{10}(1 + x^{3})) is -

maths-General

chemistry-

### The correct orders about compounds I and II are:

i)

ii)

### The correct orders about compounds I and II are:

i)

ii)

chemistry-General

chemistry-

### Which of the following is correct method for separating a mixture of following compounds?

### Which of the following is correct method for separating a mixture of following compounds?

chemistry-General

chemistry-

### The order in which the reagent must be used to separate the compound I - IV is:

### The order in which the reagent must be used to separate the compound I - IV is:

chemistry-General

chemistry-

### Decreasing order of solubility of following compounds is:

i)

ii)

iii)

iv)

### Decreasing order of solubility of following compounds is:

i)

ii)

iii)

iv)

chemistry-General

chemistry-

### Which of the following statement is correct about tropolone?

### Which of the following statement is correct about tropolone?

chemistry-General