6.7 Permutations & Combinations. Permutations / Combinations. I. Permutations A) Factorials B) Permutations n P r n! (n-r)! II. Combinations n C r n! r! (n-r)!. Factorials !. 5! 5x4x3x2x1 = 120 How many ways can 10 people line up in a straight line?
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B) Permutations nPr n!
II. Combinations nCr n!
5x4x3x2x1 = 120
10! = 3,628,800
(n-r)! r = items in a set arranged r items at a time
First, identify the “n”: 26 because there are 26 letters in the alphabet
Second, identify the “r”: 4 because it says how many 4…
2! (6-2)! (2x1) (4x3x2x1)
6x5 = 30
2x1 = 2
Final Answer: 15