freshasap8513 freshasap8513
  • 03-01-2020
  • Mathematics
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Johnny has 7 different colored marbles in his bag. In how many ways can he choose three different marbles from his bag to play a game?

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wyskoj
wyskoj wyskoj
  • 03-01-2020

Answer:

35

Step-by-step explanation:

Use the combination formula:

[tex]C(n,r)=\frac{n!}{r!(n-r)!}[/tex]

Substitute known values:

[tex]C(7,3)=\frac{7!}{3!(7-3)!}=35[/tex]

We don't use the permutation formula since the order of the drawn marbles does not matter.

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