Answer:
60
Step-by-step explanation:
If each letter can be used only once then
- The first slot has a total of 5 options
- The 2nd slot has a total of 4 options
- The 4rd slot has a total of 3 options
Then the total number of combination to arrange 5 letters into 3 slots is
5 * 4 * 3 = 60
Set is a collection of things. The number of strings that can be found with
the set of letters {A, B, C, D, E} is 60.
A set is the mathematical model of a collection of things.
We know that the set has 5 letters, while the string is made up of only 3 letters, therefore, we have 5 choices to fill each of the three places in the string. But since the letters can not be repeated the number of choices will reduce after every place is filled, thus,
The number of three-letter strings that can be made
[tex]\rm= 5\ choices \times 4\ choices \times 3\ choices\\= 5 \times 4 \times 3\\= 60[/tex]
Hence, the number of strings that can be found with the set of letters {A, B, C, D, E} is 60.
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