MEDIUM
JEE Main/Advance
IMPORTANT
Earn 100

In how many ways can the letters of the word be arranged so that:
(i) the vowels always occupy even places?
(ii) the relative order of vowels and consonants do not alter?

Important Questions on Permutations and Combinations
EASY
JEE Main/Advance
IMPORTANT
How many words can be formed by taking letters at a time out of the letters of the word EXAMINATION?

EASY
JEE Main/Advance
IMPORTANT
How many words with three different vowels and three different consonants can be formed the English alphabet?

EASY
JEE Main/Advance
IMPORTANT
In how many ways can the letters of the word PENCIL be arranged so that
(i) is always next to ?
(ii) and are always together?

EASY
JEE Main/Advance
IMPORTANT
In how many ways can examination papers be arranged so that the best and worst papers are never together?

EASY
JEE Main/Advance
IMPORTANT
If and , then is equal to

MEDIUM
JEE Main/Advance
IMPORTANT
How many numbers greater than can be formed with digits and if no digit being repeated?

EASY
JEE Main/Advance
IMPORTANT
In how many ways can soldiers stand in two rows having soldiers in each row?

MEDIUM
JEE Main/Advance
IMPORTANT
If the maximum number of trials required to open all locks when there are locks and keys is , then equals
