ionutvasiliev3060 ionutvasiliev3060
  • 28-05-2020
  • Mathematics
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How many ways can a committee of nine be formed from 10 men and their wives, if no husband serves on it with his wife?​

Respuesta :

Itstheresa01
Itstheresa01 Itstheresa01
  • 28-05-2020

Answer:

5120

Step-by-step explanation:

divide the entire group into 10 groups where each group has a man and his wife.

number of ways of selecting 9 groups is 10C9 which equals 10 ways

the number of ways selecting 1 person from a group is 2C1 =2 .

So that means the number of ways of selecting 1 person from 9 groups is 2^9=512

number of ways to form the committee is 10*2^9=5120

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