M362K Sample Test 1A - M362K Sample Test 1A Dr. Gary Berg...

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M362K Sample Test 1A Dr. Gary Berg All problems are worth ten points. Do ten of the twelve problems. Show your work. 1) a) How many ways can ten workers be assigned to ten distinct jobs? b) How many ways can ten workers be assigned to six jobs, each requiring one worker, and a seventh job requiring four workers? 2) a) In how many ways can 3 boys and 3 girls sit in a row? b) In how many ways can 3 boys and 3 girls sit in a row if the boys and the girls are each to sit together? 3) How many different letter arrangements can be made from the letters a) propose; b) Mississippi? 4) a) If 12 people are divided into 3 committees of respective sizes 3, 4, and 5, how many divisions are possible? b) If 12 people are divided into 6 groups of 2 each, how many divisions are possible? 5) Let E , F , and G be three events. Find expressions for the events so that of E , F , and G : a) both E and G but not F occur: b) at most one of them occurs. 6)
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M362K Sample Test 1A - M362K Sample Test 1A Dr. Gary Berg...

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