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Tpy6a [65]
3 years ago
7

. Una persona desea realizar una pintura para su próxima exposición en donde esta tenga tres colores fluorescentes y dos colores

pastel, al realizar la revisión de su paleta de pintura, este artista cuenta con siete colores fluorescentes y cinco colores pastel. De lo anterior se puede indicar que la cantidad de maneras en que puede realizar la pintura como lo desea es *
A. 305.
B. 350.
C. 405.
D. 450
Mathematics
1 answer:
ycow [4]3 years ago
3 0

Answer: B. 350.

Step-by-step explanation:

Given: Total number of fluorescent colors = 7

Total number of pastel colors = 5

Since , he want three fluorescent colors and two pastel colors.

Number of ways to select r things out of n things = ^nC_r=\dfrac{n!}{r!(n-r)!}

Number of ways to choose colors = ^7C_3\times\ ^5C_2

=\dfrac{7!}{3!4!}\times\dfrac{5!}{2!3!}\\\\=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}\times\dfrac{5\times4\times3!}{2\times3!}\\\\=350

Hence, the correct option is B. 350.

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