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5 votes
Evaluate the combination
C(y,y)

1 Answer

4 votes

The combination C(y,y) is equal to 1.

The formula for the number of combinations of n items taken r at a time is:

C(n,r) = n! / (r!(n-r)!)

In this case, we have:

C(y,y) = y! / (y!(y-y)!)

Since y - y = 0, we can simplify the expression to:

C(y,y) = y! / (y! * 0!)

And since 0! = 1, we can further simplify to:

C(y,y) = y! / y!

The y! term in the numerator and denominator cancel out, leaving us with:

C(y,y) = 1

Therefore, the combination C(y,y) is equal to 1.

answered
User Ben Shoval
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