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25 August, 22:14

A lock has 5 buttons. The lock is opened by pushing two buttons simultaneously and then by pushing one button alone. How many combinations are possible?

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  1. 25 August, 22:40
    0
    There are 5 choose 2 options for pushing two buttons simultaneously and then 5 options for pushing one button alone

    5 choose 2 is 5! / (3!*2!) = 10

    10*5 = 50 different combinations
  2. 25 August, 23:07
    0
    50

    Step-by-step explanation:

    there are 5 choices for pushing 2 buttons and same for pushing one

    5 factorial divided by 2 factorial times 3 factorial is 10 so 10 time 5 is 50
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