# SOLUTION: A teacher selects 3 students from the 22 students in a physics class to represent Your school at the science fair. In how many different ways can the teacher choose?

Algebra ->  Algebra  -> Permutations -> SOLUTION: A teacher selects 3 students from the 22 students in a physics class to represent Your school at the science fair. In how many different ways can the teacher choose?      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Combinatorics and Permutations Solvers Lessons Answers archive Quiz In Depth

 Question 619065: A teacher selects 3 students from the 22 students in a physics class to represent Your school at the science fair. In how many different ways can the teacher choose?Answer by jim_thompson5910(28593)   (Show Source): You can put this solution on YOUR website!C(n,r) = (n!)/(r!(n-r)!) C(22,3) = (22!)/(3!*(22-3)!) C(22,3) = (22!)/(3!*19!) C(22,3) = (22*21*20*19!)/(3!*19!) C(22,3) = (22*21*20)/(3!) C(22,3) = (22*21*20)/(3*2*1) C(22,3) = (9240)/(6) C(22,3) = 1540 So there are 1540 different ways.