SOLUTION: Two of seven finalists will be selected and awarded $10,000 scholarships. In how many different ways can this final selection be made?

Question 282431: Two of seven finalists will be selected and awarded $10,000 scholarships. In how many different ways can this final selection be made?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Since the two prizes to be awarded are the same value, the order of selection does not matter. Hence, you need the number of ways to select 2 things from 7 things.

The number of ways to select

things from

things where order doesn't matter is:

Just substitute and do the arithmetic.

Super Deluxe Double Plus Extra Credit: What is the difference in your answer if, instead of two $10,000 prizes, the committee was awarding a $13,000 prize and a $7,000 prize?

John

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