meredith48034
meredith48034 meredith48034
  • 08-12-2019
  • Health
contestada

How many ways are there to choose 6 shirts out of 10 to take to camp?

a. 60
b. 126
c. 151,200
d. 210​

Respuesta :

BasketballEinstein
BasketballEinstein BasketballEinstein
  • 09-12-2019

Answer:

d. [tex]\displaystyle 210[/tex]

Explanation:

The keywords how many ways, signal combinations, especially since order does not matter, so we use the combination formula:

[tex]\displaystyle \frac{n!}{[-r + n]!r!} =\: _nC_r \\ \\ \frac{10!}{[-6 + 10]![6!]} = \frac{3628800}{[4!][6!]} = \frac{3628800}{[24][720]} = \frac{3628800}{17280} = 210[/tex]

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