Latest Book Aptitude Question SOLUTION: Arun wants to send invitation letter to his 7 friends. In how many ways can he send the invitation letter if he has 4 servants to carry the invitation letters

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(#M40021290) BOOK question Keep an EYE

Arun wants to send invitation letter to his 7 friends. In how many ways can he send the invitation letter if he has 4 servants to carry the invitation letters

Asked In Book Abhishek (10 years ago)

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Manikandan B  (4 years ago)

The 1st friend can be invited by any of the 4 servants.

Similarly each of the remaining 6 friends can be invited by any of the 4 servants

Hence total number of ways = 47 = 16384

(In this question, you do not want to waste time by expanding 47.
We know that any power of 4 can only end with 4 or 6 . (Because 4 × 4 = 16, 6×4 = 24, ...)
In the given choices, there is only one answer which is ending with 4 which is 16384.
Hence, this must be the answer.
You can refer the section 'numbers' for more information on this)

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