Math245Sols5Sum00

Math245Sols5Sum00 - MATH 245: QUIZ 5 SOLUTIONS 1) a) An...

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MATH 245: QUIZ 5 SOLUTIONS 1) a) An extreme scenario: It doesn't get any worse than this - you pick 4 reds, 4 blues, and 4 greens. I must get at least 5 balls of the same color by the 13 th ball. Answer: 13 . b) An extreme scenario: You pick the 10 reds, then the 10 blues; the next 5 balls must be green. You must get at least 5 greens by the 25 th ball. Answer: 25 . 2) I want to count the relevant integers that are divisible by 5, but I need to subtract the number of those integers that are also divisible by 15. 4999 5 4999 15 = 999 333 = 666 3) a) Start with the leftmost position, then do the rightmost position, and then do the intermediate positions from left to right: 5 V 24 23 22 21 21 C Product = 26,777,520 b) The number of strings that begin with a vowel: 5 V 26 26 26 26 26 Product = 5 × 26 5 The number of strings that end with a vowel: 26 26 26 26 26 5 V Product = 5 × 26 5 However, we are double-counting the strings that begin and
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Math245Sols5Sum00 - MATH 245: QUIZ 5 SOLUTIONS 1) a) An...

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