Question

Please help will mark Branliest!! Determine if the problem is a permutation or a combination. Then find the number of possibilities. image attached. This is a combination/permutation and the answer ___.

Answer 1

Answer:

It is a permutation problem. There are 2193360 possibilities of selecting 4 candidates from 40 applicants when order of selection is considered.

Step-by-step explanation:

In this case, the company will hire four different applicants from a group of 40 people for 4 different jobs. In this case, we need to consider the effect of order in the number of possibilities. Hence, we must use the permutation formula:

$_{n} P_{k} = \frac{n!}{(n-k)!}$ (1)

Where:

$n$ - Total of applicants.

$k$ - Selected applicants.

If we know that $n = 40$ and $k = 4$, then the number of possibilities is:

$_{40}P_{4} = \frac{40!}{(40-4)!}$

$_{40}P_{4} = 40\times 39 \times 38 \times 37$

$_{40}P_{4} = 2193360$

There are 2193360 possibilities of selecting 4 candidates from 40 applicants when order of selection is considered.