In how many ways 6 letters be posted in 5 different letter boxes?

Question

In how many ways 6 letters be posted in 5 different letter boxes? (A) 56 (B) 65 (C) 5! (D) 6!

Tardigrade Admin · Accepted Answer

Since, each letter can be posted in any one of the five different letter boxes. So, a letter can be posted in 5 ways. Since, there are six letters and each can be posted in 5 ways. So, total number of ways

= 5 \times 5 \times 5 \times 5 \times 5 \times 5 = 5^{6}

Q. In how many ways 6 letters be posted in 5 different letter boxes?

$5^{6}$

$6^{5}$

$5!$

$6!$

Since, each letter can be posted in any one of the five different letter boxes. So, a letter can be posted in 5 ways. Since, there are six letters and each can be posted in 5 ways. So, total number of ways

$= 5 \times 5 \times 5 \times 5 \times 5 \times 5 = 5^{6}$