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counting1

# counting1 - Counting Handout 1 compiled by Joe Kahlig...

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Counting Handout 1 compiled by Joe Kahlig, Spring 2005 The majority of these problems are from Finite Mathematics, An applied approach , by Paul Long and Jay Graening. Video solutions located at: http://www.math.tamu.edu/ kahlig/141-extra-info.html In the following exercise, use any appropriate technique that has been presented to obtain the count requested. 1. Social Security Number How many different Social Secu- rity numbers are there if (a) There are no restrictions? (b) No number can begin with zero? (c) Neither of the first two digits can be zero? 2. Telephone Numbers How many different seven-digit tele- phone numbers can be put on the 501 area code if (a) There are no restrictions? (b) No telephone number can begin with zero? (c) No telephone number can begin with zero and the last digit must be odd? 3. Arrangements In how many ways can five boys and three girls be seated in a row if (a) There are no restrictions? (b) Boys and girls are seated alternately? (c) A girl must be seated in both end seats? 4. Arrangements In how many ways can five boys and five girls be seated in a row if (a) Boys and girls are seated alternately?

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counting1 - Counting Handout 1 compiled by Joe Kahlig...

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