debayan222 wrote:

1.In how many ways can a person post 5 letters in 4 letter boxes ?

(A) 480

(B) 1024

(C) 54

(D) 4^5

(E) 5^5

Bunuel- can you please explain in detail ?

There are 4 places (ABCD) that need to be filled.

Letter 1 can be posted in either A, B, C, or D i.e. 4 ways

Letter 2 can be posted in either A, B, C, or D i.e. 4 ways

Letter 3 can be posted in either A, B, C, or D i.e. 4 ways

Letter 4 can be posted in either A, B, C, or D i.e. 4 ways

Letter 5 can be posted in either A, B, C, or D i.e. 4 ways

So the total no of ways in which 5 letters can be posted in 4 boxes are = 4 x 4 x 4 x 4 x 4 = 4 ^ 5

Thus the answer is D

Hope it helps.

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