Question

In how many ways 3 letters can be posted in 4
letter-boxes. If all the letters are not posted in the same
letter-box
(163 (2) 60 (3) 77 (481)​

Answer 1

Answer:

(2) 60

Step-by-step explanation:

We can post the first letter in 4 ways and 2nd too in 4 ways, as well as the third. Therefore the total number of ways is 4 x 4 x 4 = 64.

All the three letters can be posted in any of the four letter boxes in 4 ways.

Hence the corresponding number when all are not posted in the same letter box is 64 - 4 = 60.

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Answer 2

Answer:

mensanumber wrote: In how many ways can a person post 5 letters in 3 letter boxes? Since each letter can be put into any of the 3 boxes, then each letter has 3 choices. Thus, the number of ways a person can put 5 letters in 3 boxes is 3 x 3 x 3 x 3 x 3 = 3^5.