Sulpcegu5e ppt 13_2
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Transcript of Sulpcegu5e ppt 13_2
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Section 13.2
Permutations and Combinations
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OBJECTIVE 1
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Three Types of Permutations
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If the FBI assigned four-letter codes to various operations, such as operation ERRT, (notice that repetition of letters is allowed), how many codes are possible?
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Suppose the FBI for their codes decided they did not want any letters repeated in their four letter codes. How many different four letter codes are there without repetition?
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In how many ways can 6 people be lined up?
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Evaluate: (a) P(6,4) (b) P(7, 2) (c) P(40, 4)
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If you have a group of four people that each have a different birthday, how many possible ways could this occur?
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OBJECTIVE 2
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List all the combinations of the 4 colors, red, green, yellow and blue taken 3 at a time. What is C(4, 3)?
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Find 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)
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How many different committees of 4 people can be formed from a pool of 8 people?
How 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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OBJECTIVE 3
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How many different words (real or imaginary) can be formed using all the letters in the word ALEGBRA?
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How many different vertical arrangements are there of 10 flags if 5 are white, 4 are blue and 2 are red?