MEDIUM
JEE Main/Advance
IMPORTANT
Earn 100

In how many ways can the letters of the word INTERMEDIATE"'' 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 4 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) N is always next to C?

(ii) N and E are always together?

EASY
JEE Main/Advance
IMPORTANT
In how many ways can 9 examination papers be arranged so that the best and worst papers are never together?
EASY
JEE Main/Advance
IMPORTANT
If Cxn=56 and Pxn=336, then n is equal to
MEDIUM
JEE Main/Advance
IMPORTANT
How many numbers greater than 50000 can be formed with digits 4,5,6,7 and 8 if no digit being repeated?
EASY
JEE Main/Advance
IMPORTANT
In how many ways can 10 soldiers stand in two rows having 5 soldiers in each row?
MEDIUM
JEE Main/Advance
IMPORTANT
If the maximum number of trials required to open all locks when there are n locks and n keys is 105, then n equals