There are 7 men and 10 women on a committee selection pool.A committee consisting of President,Vice-President, and Treasurer is to be formed.How many ways can exactly two men be on the committe ?

There are  $7C2$ ways of selecting two men, and  $10C1$ ways of selecting a woman.Since each position in the committee is different,arrange the three people in 3! ways.

So,  $7C2*10C1*3! =1260$