Chapter 8.5, Problem 62E

To determine

To write: all possible selections of two letters that can be formed the letters.

Answer to Problem 62E

The selection can be made in 10 ways.

Explanation of Solution

Given information:

Use the letters A, B, C, D, E, and F.

Calculation:

Let us consider the following letters

A, B, C, D, E, F

So, the numbers of possible selection are written below.

ABC, ABD, ABE, ABF, BCD, BCE, BCF, CDE, CDF, DEF

Therefore, the number of possible selection are

ABC, ABD, ABE, ABF, BCD, BCE, BCF, CDE, CDF, DEF

Therefore, total number of selection are 10.