contestada

Five different cookies and four different drinks are served at the Junior Honor Society reception. In how many ways can Sara select three different cookies and two different drinks?

A. 60
B.10
C.6
D.20
E.30
F.120

Respuesta :

konrad509

[tex]_5C_3\cdot _4C_2=\dfrac{5!}{3!2!}\cdot\dfrac{4!}{2!2!}=\dfrac{4\cdot5}{2}\cdot\dfrac{3\cdot4}{2}=2\cdot5\cdot3\cdot2=60[/tex]

09pqr4sT

Answer:

[tex]\large \boxed{\mathrm{A. \ 60}}[/tex]

Step-by-step explanation:

[tex]\displaystyle nC_r=\frac{n!}{r!(n-r)!}[/tex]

[tex]5C_3 \times 4C_2[/tex]

[tex]\displaystyle \frac{5!}{3!(5-3)!} \times \frac{4!}{2!(4-2)!}=10 \times 6 = 60[/tex]