Question

Assume that the committee consists of 6 Republicans
and 8 Democrats. A subcommittee consisting
of 7 people is to be selected.
(1) How many such subcommittees are possible
if each subcommittee must contain exactly 3
Republicans and 4 Democrats?
(1) How many such subcommittees are possible
if each subcommittee must contain at least 1 and
no more than 3 Republicans?

Answer 1

1) C(6,3)C(8,4) = 1400

Answer 2

yes correct

Answer 3

2) C(6,1)C(8,6) + C(6,2)C(8,5) + C(6,3)C(8,4) = 2 408

Answer 4

The fruit salad problem is crazy. I may ask Mr. Cow to look at it. He is solving some of the others correctly.

Answer 5

they are all nuts to me

Answer 6

what about the 2,408

Answer 7

Correct