Question 1.c.?

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A student relation committee is to be formed consisting of 2 administrators, 3 faculty members and 5 students. If the membership is to be formed from 4 administrators, 7 faculty members and 9 students, how many different committees are possible.

2007-04-09 12:39:56 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

3 answers

think of filling each position, how many choices.. remember order does NOT matter.

4 C 2 times 7 C 3 times 9 C 5 = 6 X 35 X 126 = 26460

2007-04-09 12:47:59 · answer #1 · answered by MathMark 3 · 0⤊ 0⤋

4C2 + 7C3 + 9C5
4!/2!*2! +7!/3!*4! + 9!/5!*4!
= 6 + 35 + 126 = 167

2007-04-09 19:53:19 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋

234

2007-04-09 19:55:20 · answer #3 · answered by J 3 · 0⤊ 1⤋