SOLUTION: how many trios can be selected from a group of 5 musicians?
Algebra.Com
Question 800241: how many trios can be selected from a group of 5 musicians?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Assuming order doesn't matter, then...
n C r = (n!)/(r!(n-r)!)
5 C 3 = (5!)/(3!*(5-3)!)
5 C 3 = (5!)/(3!*2!)
5 C 3 = (5*4*3!)/(3!*2!)
5 C 3 = (5*4)/(2!)
5 C 3 = (5*4)/(2*1)
5 C 3 = (20)/(2)
5 C 3 = 10
Assuming order doesn't matter, then there are 10 different ways to do this.
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