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Luda [366]
3 years ago
8

There are 10 kids on the math team. Two kids will be selected from the team to compete in the state competition. How many ways a

re there to select the 2 competitors?
Mathematics
1 answer:
patriot [66]3 years ago
8 0

Answer:

45 ways

Step-by-step explanation:

Total number of kids = 10

We have to select the 2 kids

So the number ways to select two kids ^{10}C_2

We know that ^{n}C_r=\frac{n!}{r!(n-r)!}

So ^{10}C_2=\frac{10!}{2!(10-2)!}=\frac{10!}{2!\times 8!}=\frac{10\times 9\times 8!}{2\times 8!}=45

So there are 45 ways to select 2 competitors

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