Evaluate the expression. C(8, 5)

Science & Mathematics by Anonymous 2018-07-06 08:33:26

Social Science

Evaluate the expression. C(8, 5) · C(9, 4)?

7 answers

Anonymous

C(8, 5) · C(9, 4) binomial(8, 5) binomial(9, 4) Result: 7056
Anonymous
Anonymous

C(8,5) = 8! / (3! 5!) and C(9,4) = 9! / (4! 5!) C(8, 5) · C(9, 4) = (8! 9!) / (3! 5! 4! 5!) = ( 8×7×6 × 9×8×7×6) / (3! 4!) = 2×7×9×8×7 = 7056
Anonymous

C(8,5) = C(8,3) = 8*7*6 / (3*2*1) = 8*7 = 56 C(9,4) = 9*8*7*6/(4*3*2*1) = 9*2*7= 126 So the product is 56 * 126 = 7056
Anonymous

C(8,5) = 8!/(3!5!) = 8*7*6/(3*2) = 56 C(9,4) = 9!/(4!5!) = 9*8*7*6/(4*3*2) = 3*7*6 = 126 C(8,5)•C(9,4) = 56•126 = 7056
Anonymous

rule C(n,r)=n!/[r!(n-r)!]
Anonymous

= sqrt(72 + 20) = 9.59