Question

A bag contains 8 black and 6 green balls. In how many ways a child can pick 7 balls from the bag so that the picked balls contain at least 6 black balls

Answer 1

no.of black balls =8

no.of green balls =6

to pick random of 7 balls with at least 6 black balls possible in to scenarios

6 black balls ND 1 green ball can be picked in (8c6)*(6c1)=28*6=168 ways

7 black balls can be drawn in (8c7)= 8 way

so 7 balls can be picked up from the bag in 168+8=176 ways such that it contains atleast 7 black balls