Somebody please I need help with this problem A Senate subco

Somebody please! I need help with this problem.

A Senate subcommittee is to be formed, consisting of 5 members. There are 8 Democrats and 7 Republicans eligible for the committee.

a. Without restriction, how many total committees can be formed?

What is the probability of the following:

b. The committee has more Democrats than Republicans?

c. The committee has more Republicans than Democrats?

d.The committee spends way too much time and gets little to nothing done?

8 democrats and 7 republicians

a) 5 members from 15 is formed in 15C5 ways

= 3003

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b) more democrats than republic

= (5D, 0R) or (4,1) or (3,2)

no of ways = 8c5+8c47c1+8c37c2

=56+70(7) + 56(21)

= 1232+490=1722