Question

A box contains 10 balls out of which 3 are yellow and rest are brown. in how many ways can a random sample of 6 balls be drawn from the bag so that at the most 2 yellow balls are included in the sample and no sample has all the 6 balls of the same colour?

Answer 1

first 2 yellow and 4 brown
outcome is 2+4/6=1
second 1 yellow and 5 brown
outcome is 1+5/6=1
third 3 yellow and 3 brown
outcome is 3+3/6=1