## Write all possible selections of two letters that can be formed from the letters A, B, C, D, E, and F. (The order of the two letters is not

Question

Write all possible selections of two letters that can be formed from the letters A, B, C, D, E, and F. (The order of the two letters is not important.)

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3 months 2022-02-12T05:54:24+00:00 1 Answer 0 views 0

{(A,B),(A,C),(A,D),(A,E),(A,F),(B,C),(B,D),(B,E),(B,F),(C,D),(C,E),(C,F),(D,E),(D,F),(E,F)}

Step-by-step explanation:

We are given the following in the question:

A, B, C, D, E, and F

We have to select 2 letters from these 6 letters such that the order of two letters is not important.

Possible combinations =

$$^6C_2 = \displaystyle\frac{6!}{2!(6-2)!} = \frac{6!}{2!\times 4!} = 15$$

Thus, 15 combination are possible.

Combinations are

{(A,B),(A,C),(A,D),(A,E),(A,F),(B,C),(B,D),(B,E),(B,F),(C,D),(C,E),(C,F),(D,E),(D,F),(E,F)}