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Combinations Permutations کا حساب کیسے لگائیں

Combinations Permutations کیا ہے؟

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.

مرحلہ وار گائیڈ

  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

حل شدہ مثالیں

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

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