Math Problem Statement
There are 12 junior board members and 18 senior board members.
How many ways are there to make a committee of 15 board members?
How many ways are there to make a committee of 15 board members if exactly 6 must be juniors?
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Combinatorics
Permutations and Combinations
Formulas
Combination formula: C(n, k) = n! / (k!(n - k)!)
Theorems
Combination theorem
Suitable Grade Level
Grades 10-12
Related Recommendation
Forming a Committee of 4 Faculty Members and 5 Students
Probability of Choosing a Committee with Exactly 6 Freshmen from a Freshman-Sophomore Board
Combinatorics: Choosing 17 Students for a Dance Committee from 8 Freshmen, 9 Sophomores, 10 Juniors, and 8 Seniors
Calculate Different Committees from 99 Teachers and 3636 Students
Selecting a Model United Nations Delegation: Combinations of Boys and Girls