Question

If four items are chosen at random without replacement from seven items, in how many ways can the four items be arranged, treating each arrangement as a different event (i.e., if order is important)?

Answer 1

Answer:

840 ways.

Step-by-step explanation:

The order is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this question:

4 items from a set of 7, so:

$P_{(7,4)} = \frac{7!}{(7-4)!} = 7*6*5*4 = 840$

840 ways.