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

Algebra.Com
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)   (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



RELATED QUESTIONS

From a group of 6 men and 4 women we have to choose a committee of 5 people. How many... (answered by ikleyn)
1. A committee of 5 people is to be chosen from a group of 8 women and 10 men. a. How... (answered by lynnlo)
A 4-person committee is chosen at random from a group of 15 people. How many different... (answered by kibauu)
A group of 10 women and 12 men must select a 3-person committee. How many committees are... (answered by jim_thompson5910,stanbon)
How many committees of 3 people are possible from a group of 12? (answered by nyc_function)
A committee of 4 people is to be chosen from a group of 19 people. One person is the... (answered by sudhanshu_kmr)
A 4 person committee is to be formed from a group of 12 employees and 5 managers. How... (answered by stanbon)
5.How many committees of 5 people are possible from a group of 15? (answered by math-vortex)
how many 5 people committees are possible from a group of 10 women and 8 men. each... (answered by nerdybill)