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Notes 6.7 Permutations and Combinations. Permutation – an arrangement of items in a particular order Can use the counting principle or factorials to solve. Factorial: n! = n(n – 1)… 3! = 3*2*1 = 6 4! = 4*3*2*1 = 24 0! = 1. EX 1. In how many ways can 6 people line up?. EX 2.
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Permutation – an arrangement of items in a particular order • Can use the counting principle or factorials to solve.
Factorial: n! = n(n – 1)… • 3! = 3*2*1 = 6 • 4! = 4*3*2*1 = 24 • 0! = 1
EX 1 • In how many ways can 6 people line up?
EX 2 • If I have 5 pairs of shoes, 8 pairs of pants and 7 shirts, how many different outfits can I make?
Number of Permutations – if all items available are NOT being used • n = items • r = items at a time
EX 3 • How many 4 letter codes can be made if no letter is used twice?
Combination – an arrangement of items where order DOES NOT matter
EX 4 • Evaluate:
EX 5 • There are 20 books on a reading list. In how many ways can you choose 4 books to read?
EX 6 • A DJ wants to select 5 songs from a CD that contains 12 songs. How many 5-song selections are there?
EX 7 • A pizza menu allows you to select 4 toppings at no extra charge from a list of 9 possible toppings. In how many ways can you select 4 or fewer topping?