# Thread: Basic Permutations Question

1. ## Basic Permutations Question

In how many ways could you pick 3 workers to represent the company at a forum if there are 39 women and 56 men in the group and
a) no restrictions are made
b) there must be at least one of each gender
c) Ken and Laura would never work together as representatives

i think for a) the answer is 138415 as its nCr(95,3)

but im not sure about b or c, so if someone could give me a hand it would be greatly appreciated

2. Originally Posted by gbooker
In how many ways could you pick 3 workers to represent the company at a forum if there are 39 women and 56 men in the group and
a) no restrictions are made
b) there must be at least one of each gender
c) Ken and Laura would never work together as representatives

i think for a) the answer is 138415 as its nCr(95,3)

but im not sure about b or c, so if someone could give me a hand it would be greatly appreciated
a) correct.
b) take answer from (a) and subtract combinations that are all women, also all men.
c) take answer from (a) and subtract combinations that have Ken and Laura (hint: say you are picking three playing cards from a deck; you lay aside the ace of spades and king of hearts; how many ways can you choose the third card?).