efedumbo efedumbo
  • 09-04-2018
  • Mathematics
contestada

What is the value of the expression?


10!/5!2!

720

1

30,240

15,120

Respuesta :

musiclover10045
musiclover10045 musiclover10045
  • 09-04-2018
10! = 10 * 9 * 8* 7 *6 *5 *4 *3 *2 *1 = 3628800

5! = 5*4*3*2*1 = 120
2! = 2*1 = 2

5! x 2! = 120 * 2 = 240

10! / 5!2! = 362880 / 240 = 15,120
Answer Link
Bladerunner1976
Bladerunner1976 Bladerunner1976
  • 09-04-2018
Setup:
[tex] \frac{10!}{5!*2!} = \frac{10*9*8*7*6*5*4*3*2*1}{5*4*3*2*1*2*1} [/tex]

Cancel out numbers from top and bottom to get
[tex]5*9*8*7*6 = 15120[/tex]
Answer Link

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