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18 May, 14:27

You are given the set of letters { A, B, C, D, E }. How many three-letter strings (i. e., sequences of 3 letters) can be made out of these letters if each letter can be used only once? (In this and subsequent questions, your answer should be a number. Do not enter '!' or combinations in your answer.)

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  1. 18 May, 17:06
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    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
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