SOLUTION: Permutations, combinations, and the multiplication principle for counting.
12c 4 12/4= 12/4/8=165
11c 3 =11/3 11/3/8=495
I am needing a better explanation on how the answer c
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-> SOLUTION: Permutations, combinations, and the multiplication principle for counting.
12c 4 12/4= 12/4/8=165
11c 3 =11/3 11/3/8=495
I am needing a better explanation on how the answer c
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Question 1089759: Permutations, combinations, and the multiplication principle for counting.
12c 4 12/4= 12/4/8=165
11c 3 =11/3 11/3/8=495
I am needing a better explanation on how the answer comes up to 165 and how they got 495 please show me all the steps I am missing something Found 2 solutions by jim_thompson5910, solver91311:Answer by jim_thompson5910(35256) (Show Source):
n C r = (n!)/(r!*(n-r)!)
12 C 4 = (12!)/(4!*(12-4)!)
12 C 4 = (12!)/(4!*8!)
12 C 4 = (12*11*10*9*8!)/(4!*8!)
12 C 4 = (12*11*10*9)/(4!)
12 C 4 = (12*11*10*9)/(4*3*2*1)
12 C 4 = 11880/24
12 C 4 = 495
n C r = (n!)/(r!*(n-r)!)
11 C 3 = (11!)/(3!*(11-3)!)
11 C 3 = (11!)/(3!*8!)
11 C 3 = (11*10*9*8!)/(3!*8!)
11 C 3 = (11*10*9)/(3!)
11 C 3 = (11*10*9)/(3*2*1)
11 C 3 = 990/6
11 C 3 = 165