# Permutations and Combinations

Apr 10th, 2015
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After an explanation of permutations and Combinations and the formula to be used (also explained) ten typical examination questions are presented and solved.Anyone having problems understanding the formula or their use will find this exam practice/ study guide very helpful.

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Permutations and CombinationsReminder: When the order is important we use permutationsFormula for r permutations from n: nPr = n (n-1) (n-2) (n-3)...(n-r+1)Example 7 P 5 = 7 (7 -1) (7 -2 ) (7-3) (7 - 4) [ note that -r + 1= -5 + 1 = -4 so we stop at (7- 4)]and nPn = n!When the order is not important we use combinationsFormula for r permutations from n:nCr = [n (n-1) (n-2) (n-3)...(n-r+1)] / r!Example 10 C 4 = 10 (10 -1) (10 -2 ) (10-3)/ 4! [ note that -r + 1= -4 + 1 = -3 so we stop at (10- 3)]Answer each of the following questions. Show al

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