A school committee consists of 2 teachers and 4 students. The number of different committees that can be formed from 5 teachers and 10 students is Options.
A) 3000  B) 2520  C) 2100  D) 2510  E) 2210
There are C(5,2) ways to select 2 teachers from 5 and C(10,4) ways to select 4 students from 10 where C(n,r) is the combinations of n items taken r at the time. Using the multiplication counting principle,the number of different committees that can be formed is given by   2100(5,2)*2100(10,4) = 2100
<result>C</result>
A school committee consists of 2 teachers and 4 students. The number of different committees that can be formed from 5 teachers and 10 students is