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Section 14.1 - Permutations. Permutation – The number of ways to ARRANGE ‘n’ items ‘r’ at a time with no restriction. n-factorial.

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Presentation on theme: "Section 14.1 - Permutations. Permutation – The number of ways to ARRANGE ‘n’ items ‘r’ at a time with no restriction. n-factorial."— Presentation transcript:

1 Section 14.1 - Permutations

2 Permutation – The number of ways to ARRANGE ‘n’ items ‘r’ at a time with no restriction. n-factorial

3 How many 469 seven digit phone numbers can there be? 11 110 4 6 9 01234567890123456789 01234567890123456789 01234567890123456789 01234567890123456789 1000

4 How many license plates are there if it must consist of two letters followed by four non-zero digits? 26 9999 ABCDE…ZABCDE…Z 123456789123456789 123456789123456789 123456789123456789 ABCDE…ZABCDE…Z 4435236 123456789123456789

5 How many license plates are there if it must consist of two letters and three digits, with no repetition and the first digit being nonzero? 2625 998 ABCDE…ZABCDE…Z 01234567890123456789 01234567890123456789 ABCDE…ZABCDE…Z 421200 123456789123456789

6 How many ways are there to arrange the letters in the word MATH? 43 21 MATHMATH MATHMATH MATHMATH MATHMATH 24

7 How many ways are there to arrange the letters in the word MATH if the T must come first? 13 21 MATHMATH MATHMATH MATHMATH 6 MATHMATH X X X

8 How many even three digit numbers are there? (Remember, zero cannot be first in a three digit number) 9105 01234567890123456789 123456789123456789 01234567890123456789 X X X X X 450

9 How many even three digit numbers are there if repetition is not allowed? 885 01234567890123456789 123456789123456789 01234567890123456789 X X X X X 320

10 How many six digit numbers are there if no repetition is allowed, and 4 cannot be used? 654 01234567890123456789 01234567890123456789 53760 123456789123456789 01234567890123456789 01234567890123456789 01234567890123456789 7 8 8

11 Companies whose stocks are listed on the NASDAQ stock exchange have their company name represented by either four or five letters (repetition is allowed). What is the maximum number of companies that can be listed on NASDAQ? 26 ABCDE…ZABCDE…Z ABCDE…ZABCDE…Z ABCDE…ZABCDE…Z ABCDE…ZABCDE…Z ABCDE…ZABCDE…Z ABCDE…ZABCDE…Z ABCDE…ZABCDE…Z ABCDE…ZABCDE…Z ABCDE…ZABCDE…Z 12338352

12 In the national league, the pitcher usually hits ninth. If this is the case, how many batting orders is it possible for a manager to use? P 1 P12345678P12345678 8 P12345678P12345678 7 P12345678P12345678 6 5 4 321 40320

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