Question

HELP ASAP PLZ

Answer 1

Answer:

10!/3!

Step-by-step explanation:

i just took a test and got it right

Because repetition is not allowed, and there are 10 initial options for the 7 decisions that need to be made, we use the formula

n!/(n-r)! = 10!/(10-7)! = 10!/3!

Answer 2

Answer:

There are 604,800 possible permutations.

Step-by-step explanation:

The order in which the digits are chosen 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:

7 digits from a set of 10(10 digits to 0-9). So

$P_{(10,7)} = \frac{10!}{(10-7)!} = 604800$

There are 604,800 possible permutations.