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210test4key - M ath 210 Section O il Tost#4 NAME This tost...

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Math 210 Section Oil: Tost #4 NAME: This tost, haw 6 pages. The points por pago arc 5, 4, 5, 5, 4, 5. [5 points] Question 1. How many integers in {1. 2, 3, . . . . 1000} arc not divisible by 2, 3, 5. or 7? 10 00 coo I ' 3 2-3.J Irtfl I COO 2-7 j s V /OOO. 3--? JOtJO 3-S-l 4333. +^00 -71 -U 3S -h 79 - - 772.
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[2 points] Question 2a. How many odd numbers in {1000, 1001 , 1002, , . . , 9999} have no repeated a b c hi! sp*<* ill s < ? «. 8 w*s. (/.„<? M (0--. C 1 * re c. or [2 points] Question 2b. JIow many even nnmbers in {1000, 1001, 1002, . . . . 9999} have no repeated digits 7 CASE i. V 1 V 'r" V 0) Fill rftfc 0. Fill C- 7 ' I V ' I , \ a C<)F,ll ' o J a « L. r- i fill Spre C . 7 ' ' J - <*
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[5 points] Question 3. How many permutations of the letters a, b, (-, d, e, /, g have oil, her two or three letters between a and /;? ^^, ^ a _, _ ^ b _, b ^ ^ ^ -_- ^ b /e h Co*M he. oe-u'.iL a. I So "7 J)C
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[5 points] Question 4. You roll 3 balanced six-sided dice. What's the probability that the total is at most 16? r i / /"t s o~i oidwi 6 * £ X 6 - 216 > lu ^ n ""'I ^ e < & , & , ( & -L oi n c^ 0 k &,£>,*> S O _ J^3 /OS " 5V
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In both Question 5a and Question 5b, you have a basket that contains 5 red balls, 4 white balls, and 3 blue balls. You randomly draw a ball from the basket so that each of the 12 balls is equally likely. [2 points] Question 5a. After you
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