SOLUTION: In how many ways can a six-member committee form a subcommittee with at least two members? I thought it would be 2^6 - 2 but the answer is suppose to be 57.

Algebra.Com
Question 593709: In how many ways can a six-member committee form a subcommittee with at least two members?
I thought it would be 2^6 - 2 but the answer is suppose to be 57.

Answer by sudhanshu_kmr(1152)   (Show Source): You can put this solution on YOUR website!

Number of ways to form subcommittee : 6C2 + 6C3 + 6C4 + 6C5 + 6C6
( number of members can be 2,3,4, 5 or 6)
= 15 + 20 + 15 + 6 + 1
= 57

RELATED QUESTIONS

A subcommittee of 5 representatives is to be selected from 10 men and 12 women members of (answered by ewatrrr)
A committee of six is to be chosen from the 25 members of the student council(inculding... (answered by stanbon)
In how many ways can a subcommittee of five be chosen from a Senate committee of six... (answered by ewatrrr)
Five freshmen, 4 sophomores, and 2 juniors are present at a meeting of students.In how... (answered by stanbon)
A committee of six is to be chosen from the 20 members of the student council. In how... (answered by ikleyn,math_tutor2020)
in how many ways can a subcommittee of four be chosen from a Senate committee of five... (answered by Boreal)
A committee has 25 members;15 whom are women and 10 men. -How many ways can a... (answered by Edwin McCravy)
Q15 In how many ways can we distribute seven apple and six oranges among 4 children so... (answered by lynnlo)
The executive committee of the student government consists of 10 members. In how many... (answered by Alwayscheerful)