Please provide solution on how to solve this type ofproblem. Professor Matthews

Question

Please provide solution on how to solve this type ofproblem. Professor Matthews tells four jokes each semester. Hispolicy is never to repeat any combination of four jokes once they are used. How manysemesters will eight different jokes last the professor? I tried using a tree diagram to solve, but it didn't lookright. Please help. Thanks. Please provide solution on how to solve this type ofproblem. Professor Matthews tells four jokes each semester. Hispolicy is never to repeat any combination of four jokes once they are used. How manysemesters will eight different jokes last the professor? I tried using a tree diagram to solve, but it didn't lookright. Please help. Thanks.

Explanation / Answer

n!/k!(n-k)!   n=8 and k=4 :
8!/4!(8-4)!=8*7*6*5/4*3*2*1=1680/247=70 semesters

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