Question

The letters of the words ENTRANCE are
arranged in all possible ways. The number of
arrangements having E's and N's together is
NATMAN
7!
6!
8!
9!
BI​

Answer 1

The number of arrangements having E's and N's together is 6!  

The correct answer is 6!

Given:

The letters of the words ENTRANCE

To find:

The number of arrangements having E's and N's together is

Solution:

Given word ENTRANCE

Number of N's = 2

Number of E's = 2

The number letters except 2 N's and 2 E's = 4  

Let's consider 2 N's as 1 unit and 2 E's as 1 unit

The number letters will be = 6    [ EE, NN, T, R, A, C ]   .

Therefore, Number of arrangements = 6!  

The number of arrangements having E's and N's together is 6!  

The correct answer is 6!

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