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10. (4 points) A department contains 10 part-time employees and 15 full time emp

ID: 3362738 • Letter: 1

Question

10. (4 points) A department contains 10 part-time employees and 15 full time employees. In how many ways can a committee be formed with 6 members if it must have more full-time employees than part-time employees? 11. (16 points) Three digits are randomly chosen from (1,2,3,4,5,6,7) without replacement. a) What is the probability the number formed is 123 or 567? b) What is the probability the number formed has first digit 1? t is the probability the number formed by the three digits is greater than 520?

Explanation / Answer

Committee can be formed in 3 ways

4 full time and 2 part time or 5 full time and 1 part time or all 6 full time

Number of ways= 15C4*10C2+15C5*10C1+15C6=96460