How do you evaluate 12C8? Algebra Systems of Equations and Inequalities Probability and Combinations 1 Answer David C. Jan 8, 2018 495 Explanation: Given the formulas: #"^nC_p=(n!)/(p!times(n-p)!)# #n! =ntimes(n-1)times(n-2)times...times2times1# The simplifications follows: #"^12C_8=(12!)/(8!times(12-8)!)# #"^12C_8=(12times11times10times9times8!)/(8!times4!)# #"^12C_8=(12times11times10times9)/(4times3times2times1)# #"^12C_8=(11.880)/(24)# #"^12C_8=495# 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 31449 views around the world You can reuse this answer Creative Commons License