Answer:
a) 1470 ways
b) 2835 ways
Step-by-step explanation:
the question is not correct, in the correct question The number of independents should be 3 not 2
there are 7 republicans, 10 democrats and 3 independents.
C(n,r) is the number of different combinations of n distinct objects taken r at a time.
C(n,r) =
a) it will consist of 1 Republican and 4 Democrats
The number of ways this can be chosen is = C(7,1) × C(10,4) = = 7 × 210 = 1470 ways
(b) it will consist of 2 Republicans, 2 Democrats, and 2 Independents (consist of 2 independents not 3)
The number of ways this can be chosen is = C(7,2) × C(10,2) × C(2,2)
= = 21 × 45 × 3 = 2835 ways