You have a group of 40 people. You need to pick 20 in order to form...
You have a group of 40 people. You need to pick 20 in order to form a committee. How many different ways can you do this?
Homework Answers
I have a group of 40 people.
From 40 people I can choose 20 in 40C20 ways.
Because, the first choice has 40 possibilities. Our second choice has (40-1)=39 possibilities. Proceeding in this way we gat our 20th choice has (40-19)=21 possibilities.
So total number of ways = 40*39*38*.......*21 = 40P20
Now, here order is not necessary. So total number of ways 40P20 / 20! = 40C20
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