Question

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

• A. $5^6$
• B. $6^5$
• C. $5!$
• D. $6!$

Answer 1

Answer: (A)

$5^6$

Answer 2

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
$= 5 � 5 � 5 � 5 � 5 � 5 = 5^6$