Question: Need help on some practice probelms for my Discrete Structures class. In the following question, a club with 10 students elects a president, vice president,

Need help on some practice probelms for my Discrete Structures class. the following question, a club with 10 students elects a president, vice

In the following question, a club with 10 students elects a president, vice president, secretary and treasurer. No student can hold more than one position 1) How many ways are there to select the class officers? Correct 5040 5040 Check Show answer 10 choices for Pres After Pres chosen, 9 choices for VP After Pres, VP chosen, 8 choices for Treas After Pres, VP Treas chosen, 7 choices for Sec. 10987=5040 2) Now suppose that there are five girls and five boys in the club. How many ways are there to elect the officers if the president is a girl? Correct 2520 2520 5 girls to choose from for Pres After Pres chosen, 9 choices for VP After Pres, VP chosen, 8 choices for Treas After Pres, VP Treas chosen, 7 choices for Sec. Check Show answer 5987=2520 3) Again suppose that there are five girls and five boys in the club. How Incorrect many ways are there to elect the officers if the president is a girl and the VP is a boy? Consider the process of selecting (Pres, VP Sec, Treas) and count the number of ways to make each selection When selecting a president, only the girls can be considered. When selecting a VP only the boys can be considered. Then apply the generalized product rule Check Show

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