What is 5C3? Algebra Systems of Equations and Inequalities Probability and Combinations 1 Answer sjc May 15, 2017 10 Explanation: #nC_r=(n!)/(r!(n-r)!# #5C_3=(5!)/(3!(5-3)!# #=(5!)/(3!xx2!)# #=(5xx4xxcancel(3!))/((2!)xxcancel((3!)# #=20/2=10# Answer link Related questions What are Combinations? How do permutations and combinations differ? How do you figure out the number of combinations in 4 digit numbers? How do combinations relate to the pascal's triangle? How do you calculate combinations of numbers in word problems? How do you calculate combinations of 10 numbers? How do you calculate combinations of things? How do you evaluate #(""_0^3)#? Why is #x= _3C_9# impossible to evaluate? In how many ways can the season end with 8 wins, 4 losses, and 2 tie is a college football team... See all questions in Probability and Combinations Impact of this question 157508 views around the world You can reuse this answer Creative Commons License