There are 5 choices for the first letter, 4 choices for the second letter, 3 choices for the third letter, 2 choices for the fourth letter, and 1 choice for the fifth letter. Therefore, the total number of 5-letter combinations that can be made using the letters a, b, c, d, and e is 5 x 4 x 3 x 2 x 1 = 120. Some examples of these combinations include abced, acbde, and eadbc.
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There can be only one combination, and that is abcde.
In a combination the order of the elements does not matter, so dabec is the same as abcde.
10
6
6! = 6*5*4*3*2*1 = 720
There are 5C3 = 10 combinations.
You can make 5 combinations of 1 number, 10 combinations of 2 numbers, 10 combinations of 3 numbers, 5 combinations of 4 numbers, and 1 combinations of 5 number. 31 in all.