I am having problems with this question:
The US Senate consists of 100 senators, two from each state. A committee consisting of five senators is to be formed.
(a) How many different committees are possible?
(b) How many committees are possible if no state may have more than one senator on the committee?
(c) What’s the probability that no state will have both of its senators on a committee?
I think the first (a) should be: 100*99*98*97*96
But I'm not sure about (b) and (c). Help.
= 100*98*96*94*92 /5!
(First we can chose any senator(100 ways)* (one senator already chosen and we can't chose another senator from the same state so 98 members left)*....)
p = (100*98*96*94*92 /5! ) / 100C5
What is OA
Your attitude determines your altitude
Smiling wins more friends than frowning