Respuesta :

To find the answer, we have to use combinations

[tex]C^r_{n^{}}=\frac{n!}{r!\cdot(n-r)!}[/tex]

Where n = 15 and r = 3.

[tex]C^3_{15}=\frac{15!}{3!\cdot(15-3)!}=\frac{15\cdot14\cdot13\cdot12!}{3\cdot2\cdot12!}=\frac{2730}{6}=455[/tex]

Hence, there are 455 ways to select.

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