Answer:
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
= [tex]12C6\\=924[/tex]
Favourable ways
= ways of selecting 3 republicians
= 3 republicians and 3 democrats
= [tex]8C3(4C3)\\= 4(56)\\\\=224[/tex]
the number of ways of obtaining a committee with exactly three Republicans.
= 224
