th0e5ssepinezPop th0e5ssepinezPop
  • 26-11-2016
  • Mathematics
contestada

What is the value of 10C7?

A.12
B.720
C.5040
D.604,800

Respuesta :

JcAlmighty
JcAlmighty JcAlmighty
  • 28-11-2016
The answer is 120

For combinations we use:
nCr = n!/(r!(n-r)!)
10C7 = ?
n = 10
r = 7

10C7 = 10!/(7!(10-7)!)
         = (10*9*8*7*6*5*4*3*2*1)/(7*6*5*4*3*2*1*3!)
         = 3628800/(5040 * 3*2*1) 
         = 3628800/30240
         = 120
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