how many different three letter passwords can be formed from the letters A,B,C,D,E,F, and G if no repetition of letters is allowed? Please

Question

how many different three letter passwords can be formed from the letters A,B,C,D,E,F, and G if no repetition of letters is allowed? Please someone help I’m stuck on this problem

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Jasmine 5 days 2021-10-14T00:31:37+00:00 1 Answer 0

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    2021-10-14T00:33:22+00:00

    Answer:

    210 passwords

    Step-by-step explanation:

    We are asked how many different 3 letter passwords can be formed from the letters A, B, C, D, E, F, and G.

    If there is no repetition of letters is allowed, then we can choose the arrangement in the form of ^7P_{3}.

    Now, ^7P_{3} = \frac{7!}{(7 - 3)!} = 210  

    So there can be 210 passwords be formed from the above condition. (Answer)

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27:3+15-4x7+3-1=? ( )