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Ther are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. How many different combinations of players are possible

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Answer:

There are 286 possible combinations

Explanation:

To solve this problem we must use the formula of combinations.


nCr =(n!)/(r!(n-r)!)

Where n is the number of players that there are and elect r of them

In this case there are 7 + 6 = 13 players and you choose 10 of them

Then we look for 13C10


13C10 =(13!)/(10!(13-10)!)


13C10 =(13!)/(10!*3!)


13C10 =286

There are 286 possible combinations

User Stefan Matei
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