Combinations Formula

ଭାବରେ ମଧ୍ୟ ଜଣାଶୁଣା |: nCr Formula, Binomial Coefficient

C(n, r) = \binom{n}{r} = \frac{n!}{r!(n-r)!}

C(n,r) = n! / (r!(n-r)!)

ଏହା କ’ଣ ଗଣନା କରେ |

Counts the number of ways to choose r items from n, where ORDER DOES NOT MATTER.

ପ୍ରତୀକ	ନାମ	ୟୁନିଟ୍	ବର୍ଣ୍ଣନା
n	Total Items	—	Total number of items
r	Items Chosen	—	Number of items selected

1C(10,3) = 10! / (3! × 7!)

2= (10×9×8) / (3×2×1) = 720/6 = 120

ଫଳାଫଳ: 120

P(n,r) = n! / (n-r)!

#combinatorics#probability#counting