Question:
In how many ways 6 letters be posted in 5 different letter boxes?
In how many ways 6 letters be posted in 5 different letter boxes?
Updated On: Apr 15, 2024
- $5^6$
- $6^5$
- $5!$
- $6!$
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The Correct Option is A
Solution and Explanation
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
$= 5 � 5 � 5 � 5 � 5 � 5 = 5^6$
$= 5 � 5 � 5 � 5 � 5 � 5 = 5^6$
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Concepts Used:
Permutations
A permutation is an arrangement of multiple objects in a particular order taken a few or all at a time. The formula for permutation is as follows:
\(^nP_r = \frac{n!}{(n-r)!}\)
nPr = permutation
n = total number of objects
r = number of objects selected
Types of Permutation
- Permutation of n different things where repeating is not allowed
- Permutation of n different things where repeating is allowed
- Permutation of similar kinds or duplicate objects