Slide 1
Dr. Fowler AFM Unit 7-7Permutations and Combinations
Summary of Counting MethodsCounting methods for computing
probabilitiesWith replacementRepetition is allowedWithout
replacementRepetition is NOT allowedPermutationsorder
matters!CombinationsOrder doesnt matterWithout
replacementRepetition is NOT allowedPermutationsA Permutation is an
arrangement of items in a particular order. Notice, ORDER
MATTERS!2) To find the number of Permutations of n items chosen r
at a time, and REPITION IS NOT ALLOWED1) To find the number of
Permutations of R objects chosen from N objects, and REPITION IS
ALLOWED
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5Evaluate: (a) P(6,4)
P(7, 2)
(c) P(40, 4)
Use a calculator.6If you have a group of four people that each
have a different birthday, how many possible ways could this
occur?
7CombinationsA Combination is an arrangement of items in which
order does not matter & Repetition is NOT allowed. To find the
number of Combinations of n items chosen r at a time:
8List all the combinations of the 4 colors, red, green, yellow
and blue taken 3 at a time.
red, green, yellowred, green, bluered, yellow, bluegreen,
yellow, blue= 4
9How many different committees of 4 people can be formed from a
pool of 8 people?
10Find the value of each expression.(a) C(4, 2) (b) C(5, 2) (c)
C(n, n) (d) C(n, 0)
(e) C(40, 4)
Use a calculator.11How many ways can a committee consisting of 3
boys and 2 girls be formed if there are 7 boys and 10 girls
eligible to serve on the committee?
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C (59,5)Choose 5 White From 59 Numbers:X2) Choose 1 Powerball
From 35 Numbers:C (35,1)
Combination with NC Lottery:No Repeat Numbers= 5,006,386X351 in
175,223,510
14How many different vertical arrangements are there of 10 flags
if 5 are white, 4 are blue and 2 are red?
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Excellent Job !!!Well Done
Stop NotesDo Worksheet
https://www.youtube.com/watch?v=SGn1913lOYM
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19Copyright 2012 Pearson Education, Inc. Publishing as Prentice
Hall.
20Copyright 2012 Pearson Education, Inc. Publishing as Prentice
Hall.How many different words (real or imaginary) can be formed
using all the letters in the word REARRANGE?
21Copyright 2012 Pearson Education, Inc. Publishing as Prentice
Hall.
22Copyright 2012 Pearson Education, Inc. Publishing as Prentice
Hall.
Three Types of Permutations
