Question

How many ways are there to select 9 countries in the United Nations to serve on a council if 1 is selected from a block of 60, 3 are selected from a block of 63 and 5 are selected from the remaining 66 countries?

Answer 1

Define n choose r as (n,r)=n!/(r!(n-r)!)

Then numnber of ways
=(60,1)*(63,3)*(66,5)