Question

3.4.12 Perform the indicated calculation. is 7Cd 12 C 7C4 (Round to the nearest thousandth as needed.) 12 C Footb Enter your answer in the answer box and then click Check Answer All parts showing repo Clear All B Purchases Pluckers Club Vote Pluckers " Groceries Michael Kors A T-Shirt To Wea Tse.l JUN 1 11 F3 FA ES F6 # % A 2 & 3 4 5 6 7 Q W E R T Y A S D F G Z X C V B LL

Answer 1

SOLUTION:

From given data,

Perform the indicated calculation:

⁷C₄ / ¹²C₄

We use the formula

ⁿC_r = n! / r!(n-r) !

⁷C₄ / ¹²C₄  = ( 7! / 4!(7-4) ! ) / (12! / 4!(12-4) !)

⁷C₄ / ¹²C₄ = (7! / (4! * 3!)) / (12! / (4!*8!))

⁷C₄ / ¹²C₄ = [(7*6*5*4*3*2*1)/((4*3*2*1)*(3*2*1))] / [(12*11*10*9*8*7*6*5*4*3*2*1)/((4*3*2*1)*(8*7*6*5*4*3*2*1))]

By canceling  the common terms in numerator and denominator then we get

⁷C₄ / ¹²C₄ = (7*5) / (3*11*5*3)  

⁷C₄ / ¹²C₄  = 35/495

⁷C₄ / ¹²C₄  = 0.0707

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