Formulas To Solve Combination

Formulas for Combination & Definitions

Combination: Each of the different groups or selections which can be formed by taking some or all of a number of objects is called a combination. This is denoted by nCr.

formulas for combination

Combination Formulas

•Number of all combinations of n things, taken r at a time, is given by
nCr = n!/(r!) (n-r)!
•n-combinations from a set with n elements (without repetition)
nCr = n!/(r!) (n-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
nCrnC(n – r)

nC0 + nC1+ nC2+ nC3+ ……………+ nCn = 2n

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