Easy!.....or not

A school committee consists of 2 teachers and 4 students. What is The number of different committees that can be formed from 5 teachers and 10 students ?

10 23 2100 15

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2 solutions

n u m b e r o f c o m m i t t e e s = ( 5 C 2 ) ( 10 C 4 ) = 10 ( 210 ) = number~of~committees=(5C2)(10C4)=10(210)= 2100 \color{#D61F06}\boxed{2100}

Aditya Ranjan
Aug 24, 2014

5c2 x 10c4 = 10 x 210 = 2100

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