Question

Problem Page Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.

Answer 1

Note: Consider we need to find the possible number of ways to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.

Given:

Number of letters = 4

Number of letters selected without replacement = 2

To find:

The total possible number of ways.

Solution:

We have 4 letters A, B, C and D.

So, the number of ways to select first letter is 4.

After selecting a letter the number of remaining letters is 3.

So, the number of ways to select second letter is 3.

Now, the total number of ways to select 2 letters, without replacement, from the 4 letters A, B, C, and D is:

$4\times 3=12$

Therefore, the required number of ways is 12.