Answer:
959175
Step-by-step explanation:
a) Teachers' committee:
[tex]C^3_7=\frac{7!}{3!4!}=35;[/tex]
b) Students' committee:
[tex]C^4_{30}=\frac{30!}{4!(30-4)!}=\frac{27*28*29*30}{2*3*4}=35*27*29=27405;[/tex]
c) Teachers & Students:
[tex]C^3_7*C^4_{30}=35*27405=959175.[/tex]
