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How many ways can a group of 12 choose committee of 9?
12C9 = 220
How many way can a group of 7 choose a committee of 4?
Any 4 from 7 = 35 ways
How many ways can a teacher choose 2 students from a group of 4 students?
7
How many different ways can 4 kids be chosen to serve on a committee from a group of 30 kids?
40 x 39 x 38 x 37 = 2193360
How many ways can a committee of 2 teachers and 5 students to be formed from 7 teachers and 25 students?
For this type of problem, order doesn't matter in which you select the number of people out of the certain group. We use combination to solve the problem.Some notes to know what is going on with this problem:• You want to form a committee of 2 teachers and 5 students to be formed from 7 teachers and 25 students • Then, you select 2 teachers out of 7 without repetition and without considering about the orders of the teachers.• Similarly, you select 5 students out out 25 without repetition and without considering about the orders of the students.Therefore, the solution is (25 choose 5)(7 choose 2) ways, which is equivalent to 1115730 ways to form such committee!
