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21 April, 09:30

Jessica is choosing a 3 letter password from the letters A, B, C, and D. The password cannot have the same letter repeated in it. How many such passwords are possible?

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  1. 21 April, 11:16
    0
    There are 6 passwords for each letter it starts with so a total of 24:

    ABC, ABD, ACB, ACD, ADB, ADC, BAC, BAD, BCA, BCD, BDA, BDC,

    CAB, CAD, CBA, CBD, CDA, CDB, DAB, DAC, DBA, DBC, DCA, DCB
  2. 21 April, 13:18
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    3 slots

    4 letters

    4 choices for the first slot

    3 choices for 2nd (since we used one for the first slot)

    2 choices for the 3rd slot (since we used another for 2nd slot)

    so total number of passwords is 4*3*2=24 passwords
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