MATH 100 Ch. 10 questions with answers graded A+

MATH 100 Ch. 10A club N with five members is shown below. N={Alvin, Blake, Carrie, Daniel, Eileen}, abbreviated as N={A, B, C, D, E} Assuming all members of the club are eligible, but that no one can hold more than one office, list and count the different ways the club could elect both a president and a treasurer. - correct answer 20 - AB, AC, AD, AE, BA, BC, BD, BE, CA, CB, CD, CE, DA, DB, DC, DE, EA, EB, EC, ED Assuming all members of the club are eligible, but that no one can hold more than one office, list and count the different ways the club could elect a president and a treasurer if the two officers must not be the same gender. N={Adam, Brian, Carla, Douglas, Emma} or, in abbreviated form, N={A, B, C, D, E}. - correct answer 12 - AC, AE, BC, BE, CA, CB, CD, DC, DE, EA, EB, ED Assuming all members are eligible, but no one can hold more than one office, list and count the different ways the club could elect a president, a secretary, and a treasurer if the president must be a man and the other two must be women. (Carla and Eileen are women, and the others are men.) N={Alfred, Brad, Carla, Douglas, Eileen} or, in abbreviated form, N = {A, B, C, D, E} - correct answer 6 - ACE, AEC, BCE, BEC, DCE, DEC List and count the ways club N could appoint a committee of three members when there are no restrictions to select the committee. N={Alan, Bill, Cathy, David } or, in abbreviated form, N = {A, B, C, D} - correct answer 4 - ABC, ABD, ACD, BCD You roll two six-sided dice, counting the sum of the results of each pair. Of the 36 possible outcomes, determine the number for which the sum of both dice is 3 - correct answer 2