A sample of 8 persons is selected for a test from a group containing 40 smokers and 15 nonsmokers. in how many ways can the 8 persons be selected?

Answer 1

Since no restriction in terms of being a smoker or non-smoker is required, we are simply choosing 8 people from 55
which is C(55,8) = n! / (n-r)! r!

= 55! / (55-8)! 8!
= 55! / 47! 8!
= 1217566350