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Unformatted text preview: Counting Handout 2 compiled by Joe Kahlig, Fall 2004 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. How many nine–card hands have at least one king? 2. From among 80 light bulbs, 10 are defective. How many samples of 8 have at least 1 defective bulb? 3. How many eight–card hands have at least two queens? 4. At the Boy scout camp council, there are two boys from each of the states Iowa, New Mexico, Florida, and Maine. In how many ways can a committee of four be formed from among these boys, in which there is at least one boy from Maine? 5. One card is drawn from a deck of 52 cards. In how many ways can this be done if it is to be (a) A king? (b) A king or a spade? (c) A king and a spade? (d) A king and a queen? (e) Not a king or not a queen? (f) A king or not a spade? 6. For five-digit postal zip codes. (a) How many are possible if there are no restrictions on the digits?...
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This note was uploaded on 03/04/2012 for the course MATH 141 taught by Professor Jillzarestky during the Fall '08 term at Texas A&M.
- Fall '08