Question Detail

STA 112 PERMUTATIONS AND COMBINATIONS Objective Question

Question

There are 6 letters and 3 post boxes. The number of ways in which these letters can be posted is -
Options
A 6^3
B 3^6
Correct Answer
C 6P3
D 6C3
Correct Answer

Option B is the correct answer.

Detailed Explanation

This is a problem of assigning each letter to one of the post boxes. Each letter has an independent choice of post box.For the first letter, there are 3 post box choices.For the second letter, there are 3 post box choices....and so on, for all 6 letters.So, the total number of ways = 3 * 3 * 3 * 3 * 3 * 3 = 3^6.

Hint

Consider the choices for each individual letter. Each letter can go into any of the 3 post boxes independently.

Question Info