SOLUTION: How many ways can 10 people fit on a 4-person park bench (seating order is not important)?

Algebra ->  Permutations -> SOLUTION: How many ways can 10 people fit on a 4-person park bench (seating order is not important)?      Log On


   



Question 319370: How many ways can 10 people fit on a 4-person park bench (seating order is not important)?
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
A combination is the choice of r things from a set of n things without replacement and where order does not matter.
nCr = n!/r!(n - r)!
10C4 = 10!/4!(10 - 4)!
10C4 = 3628800/(24*720)
10C4 = 3628800/17280
10C4 = 210 ways