Question

Compute the following: a. 6720 b. 5.6 c. 3360 d. 560

Answer 1

Answer:

d. 560

Step-by-step explanation:

We have to find the value of $^{8}C_{3} \times ^{5}C_{2}$.

Now, we know the formula of $^{n}C_{r}$ is given as $\frac{n!}{r! \times (n - r)!}$.

Here, n! = 1 × 2 × 3 × 4 × .......... × (n - 1) × n.

So, in our case, $^{8}C_{3} \times ^{5}C_{2}$

= $\frac{8!}{3! \times (8 - 3)!} \times \frac{5!}{2! \times (5 - 2)!}$

= $\frac{6 \times 7 \times 8}{3!} \times \frac{4 \times 5}{2!}$

= 56 × 10

= 560 (Answer)