Bunuel wrote:

Jamboree and GMAT Club Contest Starts

QUESTION #10:How many words (with or without meaning) can be formed using all the letters of the word “SELFIE” so that the two E’s are not together?

(A) 660

(B) 600

(C) 500

(D) 300

(E) 240

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JAMBOBREE OFFICIAL SOLUTION:We do not have a direct formula to calculate the answer , but we can say

Required answer = total number of words which can be formed – number of words when the two E”s are together

Total number of words = 6! / 2! = 360

To calculate the number of ways in which two e’s are together we will group E’s together .we will get SLFI(EE)

number of ways we can arrange SLFI(EE) = 5!

Number of words when two E’s are together = 5!

Required answer = 360 – 120

= 240

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