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- Sequences - Binomial: problem 1
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Compute (n)= (n!)/(k!(n-k))
( k)
If n=7 and k= 3
What is n!?
What is k!?
What is (n-k)!?
How am I supposed to find n and k if no one knows how to do it I’ll ask during class on Monday
In this expression, which is sometimes written nCr, both n and r are non-negative integers with n ≥ r.
It is used to calculate the number of ways that a group of r individuals can be formed from a total group of n individuals.
The factorial “!” means take the number, multiply it by 1 less and then again by 1 less and so forth until 1 is reached.
for example, 4! = 4*3*2*1
5C3 then = 5*4*3/(3*2*1) = 5!/(3!2!) = 10
There are 10 distinct groups of 3 that can be formed from 10 individuals.
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