please tell what is C(2n,n-1)
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C (2n, n-1) means that C is a point which location is 2n along x axis and n-1 along you axis
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Answer:
2ⁿ*n/(n+1)!
Step-by-step explanation:
C(n,r) means combination of n distinct objects taken r at a time.
so,
C(2n,n-1) means combination of 2n things taken n-1 at a time.
we know C(n,r) is given by formula:
n!/(n-r)!*r!
=>(2n)!/(2n-n+1)!*(n-1)!
=>(2n)!/(n+1)!*(n-1)!
=>2ⁿ*n!/n!*(n+1)*(n-1)!
=>2ⁿ*n/(n-1)!*n*(n+1)
=>2ⁿ*n/(n+1)!
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