In how many ways can 5 letters be mailed if there are 2 mailboxes available?

Wade Bullock

Wade Bullock

Answered

2022-06-30

In how many ways can 5 letters be mailed if there are 2 mailboxes available?

Answer & Explanation

Monserrat Cole

Monserrat Cole

Expert

2022-07-01Added 12 answers

Explanation:
We can mail N letters in one box, and the remaining 5 - N in the other, for N = 0 , 1 , 2 , 3 , 4 , 5..
We can select N out of 5 in 5 C N ways.
So, the total number of all possible ways is 5 C N , N = 0 , 1 , 2 , 3 , 4 , 5..
This sum is 1 + 5 + 10 + 10 + 5 + 1 = 32.

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