The number of permutations of the letters of the word 'CONSEQUENCE' in which all the three E's are together is

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Solution

Q.
The number of permutations of the letters of the word 'CONSEQUENCE' in which all the three E's are together is

1 $9! 3!$

2 $\frac{9!}{2!}$

3 $\frac{9!}{2! 2! 3!}$

4 $\frac{9!}{2! 2!}$

Ans.
(4)

Considering all E's as one letter, 2 N's and 2 C's are also there.

So, number of permutations $= \frac{9!}{2! 2!}$

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