Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-1>Q 75

MEDIUM

JEE Main/Advance

IMPORTANT

Earn 100

The number of proper divisors of $a {}^{p}b^{q} C^{r} d^{s}$ where $a, b, c, d$ are primes & $p, q, r, s \in N$ is

50% studentsanswered this correctly

Important Questions on Permutation and Combination

HARD

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-1>Q 76

N

is a least natural number having

24

divisors, then the number of ways

N

can be resolved into two factors is

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-1>Q 77

How many divisors of

21600

are divisible by

10

but not by

15 ?

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-1>Q 78

The number of ways in which the number

27720

can be split into two factors which are co-primes is

HARD

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-1>Q 79

The number of words of

5

letters that can be made with the letters of the word

" PROPOSITION " .

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-1>Q 80

How many ways can atleast

2

fruits be selected out of

5

Mangoes,

4

Apples,

3

Bananas and three different fruits

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-1>Q 81

The number of ways in which

10

identical apples can be distributed among

6

children so that each child receives atleast one apple is:

HARD

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-1>Q 82

Number of ways in which

3

persons throw a normal die to have a total score of

11

is

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 8 - Permutation and Combination>Exercise-1>Q 83

If chocolates of a particular brand are all identical then the number of ways in which we can choose

6

chocolates out of

8

different brands available in the market, is