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:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
7 digits from a set of 10(10 digits to 0-9). So
[tex]P_{(10,7)} = \frac{10!}{(10-7)!} = 604800[/tex]
There are 604,800 possible permutations.
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!
