Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 16

EASY

JEE Main/Advance

IMPORTANT

Earn 100

Rajeev wants to arrange $3$ Economics, $2$ History and $7$ English books on a shelf. If the books on the same subject are different. Find the number of possible arrangements if all the books on a subject are together.

Important Questions on Permutations and Combinations

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 17

If

{}^{n}P_{5} = 60 . {}^{n - 1}P_{3}

, then find the value of

n

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 18

Find the number of ways in which the letters of the word ARRANGE can be permuted such that R's occur together.

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 19

Find the number of all five digit numbers that can be formed by using the digits

0, 1, 3, 5, 6

without repetition.

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 20

How many words can be formed out of the letters of the word PECULIAR beginning with

P

and ending with

R

?

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 21

In how many ways can the letters of the word

F R A C T I O N

be arranged so that no two vowels are together?

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 22

Determine the number of

6

card combinations out of a deck of

52

cards if two of the six cards have to be aces.

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 23

Out of six consonants and four vowels, how many words each containing

3

consonants and

2

vowels can be formed?

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 24

The letters of the word

RACHI

are arranged in all possible ways as listed in dictionary. What is the rank of the word

RACHI

?