Good example: 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

[answerhappygod]

Good example:

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

If the final equation is too complex, introduce variables and break
it down into two or more
equations. You are encouraged to show additional work to indicate
how you derived your
equation.
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?