2. (24 points, 4 points each) A data science club has 27 members: 15 math majors and 12 computer science majors (each me
Posted: Mon Jun 06, 2022 1:54 pm
C(6, 3) – C(5, 2) = 10
Bad examples:
10 no equation
C(6, 3) – C(5, 2) no final answer
20 – 10 = 10 did not leave combinations intact.
2. (24 points, 4 points each) A data science club has 27 members: 15 math majors and 12 computer science majors (each member is majoring in math or computer science but not both; there are no double majors). They need to form a committee that consists of a president, a vice president, a secretary, and a treasurer. How many committees are possible... a. with no additional restrictions? b. if the committee must have two math majors and two computer science majors? c. if the committee must have at least two computer science majors? d. if the committee must have either all math majors or all computer science majors? e. they abolish the officer positions and form a committee of four people? f. they abolish the officer positions and form a committee of six people with at least two math majors?