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(a) Calculate the coefficient of x7y5z in (x + y + z) ¹3. (b) In her discrete math class, Karen was asked to count the n
Posted: Wed May 04, 2022 10:23 am
by answerhappygod
- A Calculate The Coefficient Of X7y5z In X Y Z 3 B In Her Discrete Math Class Karen Was Asked To Count The N 1 (81.4 KiB) Viewed 41 times
(a) Calculate the coefficient of x7y5z in (x + y + z) ¹3. (b) In her discrete math class, Karen was asked to count the number of four- person teams that could be formed from a group of 17 males and 13 females with at least one male and at least one female. They mistakenly argue as follows: There are 17 choices for a male on the team and 13 choices for a female on 28 the team. After that, there are (25) to choose the remaining two players from the remaining 28 individuals. Therefore, by the rule of product, there are 17. 13. 28-27 different teams. i. Explain the error in Karen's reasoning. ii. Determine the correct number of four-person teams that can be formed with at least one male and at least one female. (You may leave your answer in terms of unsimplified binomial coefficients.)