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Use formula for permutations to calculate in how many ways you can select 2 people out of 10,

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The formula for permutations is
P(n, k) = n!/(n-k)!

For n=10 and k=2 the formula tells you
P(10, 2) = 10!/8! = 10*9 = 90
there are 90 ways to select 2 people from 10 when order matters.
User Jonathan Raoult
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