Permutation and CombinationHard

Question

The number of permutations that can be formed by arranging all the letters of the word ′NINETEEN′ in which no two E′s occur together. is

Options

A.
B.
C. × 6C3.
D. × 6C3.

Solution

NINETEEN
⇒  N → 3 :  I, T
     E → 3
First we arrange the word of N, N, N, I and T
then the number of ways = .
Now total 6 number of place which are arrange E is 6C3
Hence total number of ways = . 6C3

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