Ask Question
14 February, 23:57

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?

+4
Answers (2)
  1. 15 February, 00:08
    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. 15 February, 00:09
    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A lock has 5 buttons. The lock is opened by pushing two buttons simultaneously and then by pushing one button alone. How many combinations ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers