homework2-key

# homework2-key - Homework 2-key 1. (a) How many different...

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Homework 2-key 1. (a) How many different 7-place license plates are possible if the first 2 places are for letters and the other 5 for numbers? (b) Repeat part (a) under the assumption that no letter or number can be repeated in a single license plate. (a) 26 2 × 10 5 = 67600000 (b) 26 × 25 × 10 × 9 × 8 × 7 × 6 = 19656000 2. How many outcome sequences are possible when a die is rolled four times, where we say, for instance, that the outcome is 3, 4, 3, 1 if the first roll landed on 3, the second on 4, the third on 3, and the fourth on 1? 6 4 = 1296 3. How many different letter arrangements can be made from the letters (a) FLUKE (b) PROPOSE (c) MISSISSIPPI (d) ARRANGE ( a )5! = 120 ( b ) 7! 2! × 2! = 1260 ( c ) 11! 4! × 4! × 2! = 34650 ( d ) 7! 2! × 2! = 1260 4. In how many ways can 3 novels, 2 mathematics books, and 1 chemistry book be arranged on a bookshelf if (a) The books can be arranged in any order (b) The mathematics books must be together and the novels must be together (c) The novels must be together but the other books can be arranged in any order? ( a )6! = 720 ( b )3! × 3! × 2! = 72 ( c )4! × 3! = 144 5. There are 30 psychiatrists and 24 psychologists attending a certain conference. Three of these 54 people are randomly chosen to take part in a panel discussion. What is the probability that at least one

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## This note was uploaded on 03/16/2012 for the course STAT 110a taught by Professor J.sanchez during the Winter '12 term at UCLA.

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homework2-key - Homework 2-key 1. (a) How many different...

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