SOLUTION: In combinations, does n necessarily have to be larger than p? Hint: try a test case.

Algebra ->  Permutations -> SOLUTION: In combinations, does n necessarily have to be larger than p? Hint: try a test case.      Log On


   

Question 28574: In combinations, does n necessarily have to be larger than p? Hint: try a test case.
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
In combinations, does n necessarily have to be larger than p? Hint: try a test case.
YES CERTAINLY..AS THE NAME APPLIES
NCP MEANS NUMBER OF COMBINATIONS THAT CAN BE MADE OUT OF 'N' THINGS TAKING 'P' AT A TIME.IF P>N THEN YOU CANNOT PICK 'P' THINGS FROM 'N' THINGS
SAY YOU HAVE 3 TENNIS PLAYERS (A,B,C)IN YOUR CLASS AND YOU HAVE TO SELECT ONE DOUBLES TEAM...YOU CAN DO IT IN 3 WAYS BY SELECTING A&B,A&C,B&C...BUT SUPPOSE YOU HAVE TO SELECT A DAVIS CUP TEAM OF 5 MEMBERS TO PLAY 4 SINGLES AND 1 DOUBLES MATCH.THERE IS NO WAY TO DO IT...AS THERE ARE ONLY 3 PLAYERS AVAILABLE TO SELECT A TEAM OF 5.