Question

Q1. MassBay seats being reserved for taking into account your Instructor's unfair attempts to confuse you) assBay Board of Trustces has 13 members, including 1 Student Trustee and 1 Alumni Trustee. Consider running shoul benhe student and alumni trustees. (That campus is in poor enough shape that the entire Board should be involved, m o l, Ma for these positions in future . The Board forms a 6 member Framingham campus Subcommittee, 2 of the Subcommittee one may think.). What is the maximum possible number of this subcommittee compositions (after

Answer 1

the 2 of the subcommittee seats are already reserved for the student and alumni trustees,

so the problem of choosing 6 subcommittee members from 13 members gets reduced to the problem of choosing 4 members from the remaining 11 members.

the maximum possible number of this subcommittee compositions is given by,

$11C4=\binom{11}{4}$

4(11 4)

11 10*9 8 7! 4 3 2 7!

$=330$