SOLUTION: In the context of binomial expansion, where X is the random variable, X^8=(x^5) (__

SOLUTION: In the context of binomial expansion, where X is the random variable, X^8=(x^5) (___) how do I find the missing factor?

Question 1023823: In the context of binomial expansion, where X is the random variable, X^8=(x^5) (___) how do I find the missing factor?
Answer by mathmate(429) (Show Source): You can put this solution on YOUR website!

Question:
In the context of binomial expansion, where X is the random variable, X^8=(x^5) (___) how do I find the missing factor?

Solution:

When a binomial is expanded, the result is n+1 terms, each of which equals where
C(n,k) is the binomial coefficient of the k^th term in an expansion to the power of n, and equals n!/(k!(n-k)!).

For example, in the expansion of , the 4th term is
, which evaluates to , or

The given problem probably refers to the expansion of (1+x)^8. So you can find the coefficient directly from C(8,5).
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