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Formulas for Combination
Formula of Combination used for calculating the number of ways of selecting the items
Formula of Combination , ^nC_r = \frac{n!}{(n-r)! r! }


Combination Formulas
- Number of all combinations of n things, taken r at a time, is given by
nCr = \frac{n!}{(n-r)! r! } n!/(r!) (n-r)!
- n-combinations from a set with n elements (without repetition)
nCr = \frac{n!}{(n-r)! r! }
- n-combinations from a set with n elements (with repetition)
r + n – 1Cr = C (n, r)
Points to remember in Combination Formulas
- nCn = 1
- nC0 = 1
- nCr= nC(n – r)
- nC0 + nC1+ nC2+ nC3+ ……………+ nCn = 2n
Read Also – Tips and tricks of Combination
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