SOLUTION: How many 4 person committees are possible from a group of 12 people a. there are no restrictions b. both jim and mary must be on the committee c. either jim or mary (not both) m

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Question 420900: How many 4 person committees are possible from a group of 12 people
a. there are no restrictions
b. both jim and mary must be on the committee
c. either jim or mary (not both) must be on the committee
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

a. there are no restrictions
no. of ways = 12C4 = 495

b. both jim and mary must be on the committee
no.of ways = 10C2 = 45


c. either jim or mary (not both) must be on the committee
no. of ways when jim on the committee but mary not = 10C3 = 120
no. of ways when mary on the committe but jim not = 10C3 = 120
total ways = 120+120 = 240