In how many ways can a team of 6 candidates can be formed out of a total of 10 candidates such that two particular candidates should be included in each department?

Question

Permutations and combinations

Answer 1

The two particular candidates are first removed from the 10. That leaves 8 to form a group of 4 to make up the team of 6 which includes the two particular candidates. The number of ways of choosing 4 from 8 is:

8*7*6*5/4!=70.