How many ways if there is exactly one technician?

G

Guest

Guest
There are 15 technicians and 11 chemists working in a research laboratory. In how many ways could they form a 5-member safety committee if the committee must have exactly one technician.

I was going for something like, since there are 11 chemists, and there has to be 1 tech. 10C4 or 5, but the number is not as big as the answer which is 4950 =S
So how do you do this?
 
Try: \(\displaystyle {15 \choose 1}{11 \choose 4}.\)
 
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