Question

in how many ways can a research team of 5 members be formed from a group of 10 scientist consisting of 3 chemists and 7 physicist if: a) there is no restriction? b) the team include exactly 2 chemist. c) the team must include atleast 3 physicist. d) cannot be both in the research team.(PROBABILITY AND STATISTICS: PERMUTATION AND COMBINATION)

Answer 1

a)combination(10 5)
b)combination(8 3) as two seats are already occupied
c)total-case of 1physist-case of 2physist
10C5-(not possible)-(2C7 * 3C3)
d)not clear enough what are you asking

Answer 2

thanks :)