Acommittee of six congressmen will be selected from a group of eight republicans and four democrats. find the number of ways of obtaining a committee with exactly three republicans.

224

Step-by-step explanation:

Given that a committee of six Congressmen will be selected from a group of eight Republicans and four Democrats.

Total no of ways of selecting 6 persons from the given list

= taking 6 persons out of 12 persons

=

Favourable ways

= ways of selecting 3 republicians

= 3 republicians and 3 democrats

=

the number of ways of obtaining a committee with exactly three Republicans.

= 224

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the answer to the expression is 83