We have a group of 20 couples, each couple consists of a Man and a Woman. We want to

select 3 representatives from the group, with no assigned roles.

1) How many different selections of 3 represntatives are there, with no two people from

the same couple?

We have a group of 8 boys and 6 girls.

2) . In how many ways can we seat 3 of the boys and 2 of the girls in 5 chairs?