Answer:
3 have a license, 5 do not have a license
the first choice is 5 out of 8, or 5/8
the second choice is 4 out of 7, or 4/7
(5/8)*(4/7)=20/56=10/28=5/14
another way to look at it is...
how many ways can you choose 2 people out of 8 people ?
8!/2!(8-2)!=8!/2!*6!=8*7/2=56/2=28 ways
how many ways can you choose 2 people out of 5 people ?
5!/2!(5-2)!=5!/2!*3!=5*4/2=20/2=10
10/28=5/14 again
call the 5 people who don't have a license A,B,C,D, and E
how can they be paired together ?
AB,AC,AD,AE,BC,BD,BE,CD,CE, and DE for a total of 10
again 10/28=5/14
