Answered

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

Sagot :

evgeniylevi

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]

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