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learn.howToCalculate

learn.whatIsHeading

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.

ଷ୍ଟେପ୍-ଷ୍ଟେପ୍ ଗାଇଡ୍ |

  1. 1Permutations (order matters): P(n,r) = n! / (n−r)!
  2. 2Combinations (order irrelevant): C(n,r) = n! / (r!(n−r)!)
  3. 3Rule of thumb: if you can swap two items and get a different result, use permutations

ସମାଧାନ ହୋଇଥିବା ଉଦାହରଣ

ଇନପୁଟ୍
Choose 3 from 10 (order matters)
ଫଳ
720
P(10,3) = 10×9×8 = 720
ଇନପୁଟ୍
Choose 3 from 10 (order irrelevant)
ଫଳ
120
C(10,3) = 720/6 = 120
ଇନପୁଟ୍
Lotto: 6 from 49
ଫଳ
13,983,816
C(49,6)

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