Question

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 a) may be chosen in any way? b) must have exactly one technician? c) must have exactly one chemist? d) must have exactly two chemists? e) may be all technicians or all chemists?

Answer 1

a)

26C5 -> 26 choices of 5 things

b)

15C1 × 11C4

c)

11C1 × 15C4

d)

11C2 × 15C2

e)

11C4

or

15C4