jennaayyy12
contestada

In how many ways can a subcommittee of six be chosen from a Senate committee of seven Democrats and five Republicans if (a) All members are eligible? ways (b) The subcommittee must consist of three Republicans and three Democrats?

Respuesta :

The concept of Combination is a very tool to answering this problem. 

a. Since there is a total of 12 committee and only 6 should be chosen as subcommittees, this can also be stated as "combination of 12 taken 6" which is equal to 924.

b. Choosing 3 out of the 5 Republicans and 3 out of the 7 Democrats,
         (5C3)x(7C3) = 350.


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