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 transcript:

Section Permutations

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

How many 469 seven digit phone numbers can there be?

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

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? ABCDE…ZABCDE…Z ABCDE…ZABCDE…Z

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

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

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

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

How many six digit numbers are there if no repetition is allowed, and 4 cannot be used?

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

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 P P P P P P