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jeyben [28]
3 years ago
10

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

Mathematics
1 answer:
umka21 [38]3 years ago
8 0

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)

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