Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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please send handwritten solution for part a
Q1
(a) Calculate the coefficient of x'yz in (x+y+2)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 the team.
After that, there are () 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.)
Transcribed Image Text:Q1 (a) Calculate the coefficient of x'yz in (x+y+2)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 the team. After that, there are () 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.)
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