There 8

There are 7 women and 5 men in a department.
a) how many ways can a committee of 3 people be selected?
b) how many ways can a committee of 2 men and 1 woman be selected?
c) how many ways can a committee of at least 2 woman be selected (3 people total)?

Correct answer:

a =  220
b =  70
c =  140

Step-by-step explanation:

w=7 m=5 t=w+m=7+5=12  a=t (t1) (t2)3!=12 (121) (122)3!=220
b=m (m1)/2 w=5 (51)/2 7=70
C2(7)=(72)=7!2!(72)!=7621=21 C3(7)=(73)=7!3!(73)!=765321=35 c=(w2) m+(w3)=21 5+35=140

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