Question

How many different committees can be formed from 7 teachers and 30 students if the committee consists of three teachers and four students

Answer 1

Answer:

959175

Step-by-step explanation:

a) Teachers' committee:

$C^3_7=\frac{7!}{3!4!}=35;$

b) Students' committee:

$C^4_{30}=\frac{30!}{4!(30-4)!}=\frac{27*28*29*30}{2*3*4}=35*27*29=27405;$

c) Teachers & Students:

$C^3_7*C^4_{30}=35*27405=959175.$