A trial jury of 6 people will be chosen from among 18 candidates. How many juries are possible? 18,564 742,560 13,366,080 34,012,224

Question

Kallie Walker

Mathematics

2 July, 11:24

A trial jury of 6 people will be chosen from among 18 candidates. How many juries are possible? 18,564 742,560 13,366,080 34,012,224

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Castillo · Answer 1

Plug n = 18 and r = 6 into the nCr combination formula

n C r = (n!) / (r! * (n-r) !)

18 C 6 = (18!) / (6! * (18-6) !)

18 C 6 = (18!) / (6!*12!)

18 C 6 = (18*17*16*15*14*13*12!) / (6!*12!)

18 C 6 = (18*17*16*15*14*13) / (6!)

18 C 6 = (18*17*16*15*14*13) / (6*5*4*3*2*1)

18 C 6 = 13366080/720

18 C 6 = 18564

Answer: 18564