Combinations Permutations ची गणना कशी करावी
Combinations Permutations म्हणजे काय?
Combinations count ways to choose items where order does not matter. Permutations count ways where order does matter. Both use factorials and appear in probability, statistics, and combinatorics.
चरण-दर-चरण मार्गदर्शक
- 1Permutations (order matters): P(n,r) = n! / (n−r)!
- 2Combinations (order irrelevant): C(n,r) = n! / (r!(n−r)!)
- 3Rule of thumb: if you can swap two items and get a different result, use permutations
Worked Examples
इनपुट
Choose 3 from 10 (order matters)
परिणाम
720
P(10,3) = 10×9×8 = 720
इनपुट
Choose 3 from 10 (order irrelevant)
परिणाम
120
C(10,3) = 720/6 = 120
इनपुट
Lotto: 6 from 49
परिणाम
13,983,816
C(49,6)