organized counting
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Organized Counting. Permutations and Combinations. Jones is the Chairman of a committee. In how many ways can a committee of 5 be chosen from 10 people given that Jones must be one of them?. 31. 31. 126 252 495 3024. - PowerPoint PPT PresentationTRANSCRIPT
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Organized Counting
Permutations and Combinations
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Jones is the Chairman of a committee. In how many ways can a committee of 5 be chosen from 10 people given that
Jones must be one of them?
1 2 3 4
87%
6%3%3%
1. 1262. 2523. 4954. 3024
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A password consists of four different letters of the alphabet. How many different possible passwords are
there?
1 2 3 4
0%
71%
26%
3%
1. 4^262. 4569763. 149504. 358800
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A password consists of two letters of the alphabet followed by three digits chosen from 0 to 9. Repeats are allowed. How many different
possible passwords are there?
1 2 3 4
3% 0%
94%
3%
1. 4928042. 6500003. 6760004. 1757600
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An encyclopedia has eight volumes. In how many ways can the eight volumes
be replaced on the shelf?
1 2 3 4
0% 0%
90%
10%
1. 82. 50403. 403204. 8^8
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Assuming that any arrangement of letters forms a 'word', how many 'words' of any length can be
formed from the letters of the word SQUARE?(No repeating of letters)
1 2 3 4
0% 0%
77%
23%
1. 822. 7203. 19564. 9331
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A restaurant offers 5 choices of appetizer, 10 choices of main meal and 4 choices of dessert. A customer can choose to eat just
one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible
meals does the restaurant offer?
1 2 3 4
23%
16%
39%
23%
1. 3292. 3103. 2004. 19
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How many permutations of 3 different digits are there, chosen from the ten digits
0 to 9 inclusive?
1 2 3 4
0%
90%
3%6%
1. 842. 1203. 5044. 720
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How many permutations of 3 different digits are there, chosen from the ten digits
0 to 9 inclusive?
1 2 3 4
0%
100%
0%0%
1. 842. 1203. 5044. 720
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How many permutations of 4 different letters are there, chosen from the twenty
six letters of the alphabet (repetition is not allowed)?
1 2 3 4
0% 0%
100%
0%
1. 149502. 237513. 3588004. 456976
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How many different committees of 5 people can be chosen from 10 people?
1 2 3 4
87%
0%
13%3%
1. 2522. 20023. 302404. 100000
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Fastest Responders (in seconds)9.64 Maggie Haun17.17 Fiona Corbett17.44 Tony Li17.64 Nick Whitty19.7 Alex Watson
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Participant Scores10 Shabana Jamani10 Mark Rankin9 Maggie Haun9 Fiona Corbett9 Tony Li9 Nick Whitty9 Jen Antonishen9 Lucas Di Lorio9 Clare Johnson9 Jialing Wu