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The PERMUTATION FORMULA The number of permutations of n objects taken r at a time P n r n n r This formula is used when a counting problem involves both 1 Choosing a subset of r elements from a set of n elements and 2 Arranging the chosen elements Referring to EXAMPLE 1 5 6 above Gomer is choosing and arranging a
PERMUTATIONS AND COMBINATIONS WORKSHEET CTQR 150 1 If the NCAA has applications from 6 universities for hosting its intercollegiate tennis cham pionships in 2008 and 2009 how many ways may they select the hosts for these champi onships
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Permutation Combination Worksheet Mathematical Objects Elementary Mathematics
Permutation Combination Worksheet Mathematical Objects Elementary Mathematics
ANSWERS Combinations 1 In how many ways can Max select 3 toppings from 10 available toppings for his pizza The order of choosing toppings does not matter so it is a combination not permutation solution C 10 3 10 7 3 10 9 8 3 2 1 5 3 8
Permutations vs Combinations Name Date Period State if each scenario involves a permutation or a combination 1 Mofor and Darryl are planning trips to ten countries this year There are 14 countries they would like to visit
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Combinations A combination is a selection of objects in which order is not important For instance in a drawing for 3 identical prizes you would use combinations because the order of the winners would not matter If the prizes were different then you would use permutations because the order would matter
List all possible permutations 1 1 2 3 2 T V W taken two at a time 3 taken two at a time 4 A B C D Evaluate each expression 5 P 6 P 7 P 8 P 9 P 10 P Find the number of unique permutations of the letters in each word 11 DESIGN 12 MATH
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PERMUTATIONS AND COMBINATIONS WORKSHEET CTQR 150 1 If the NCAA has applications from 6 universities for hosting its intercollegiate tennis cham pionships in 2008 and 2009 how many ways may they select the hosts for these champi onships
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Combinations and Permutations Calculate the value of each 1 4 2 4 3 3 5 4 6 3 5 7 6 8 7 4 4 8 4 3 Solve each word problems 9 Susan is baking cookies She uses sugar flour butter and eggs How many different orders of ingredients can she try
PERMUTATIONS AND COMBINATIONS WORKSHEET CTQR 150 1 If the NCAA has applications from 6 universities for hosting its intercollegiate tennis cham pionships in 2008 and 2009 how many ways may they select the hosts for these champi onships
Combinations and Permutations Calculate the value of each 1 4 2 4 3 3 5 4 6 3 5 7 6 8 7 4 4 8 4 3 Solve each word problems 9 Susan is baking cookies She uses sugar flour butter and eggs How many different orders of ingredients can she try
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Permutations And Combinations Worksheet