Question

Assume that 4 digits are selected at random from the set {2,3,7,8,9} and are arranged in random order. What is the probability that the resulting 4-digit number is less
than 9000?

Answer 1

is this not the same as asking what is the probability that the first number is not a 9?

Answer 2

there is only a 1/5 chance it is 9, does that help

Answer 3

there are 5 x 4 x 3 x 2 x 1 possible arrangements or 120 possible

is the number is less than 9000 there are only 4 digits that can give you this

4 x 4 x 3 x 2 x 1 =

Answer 4

it's out of 120 but what is the numerator?

Answer 5

4 x 4 x 3 x 2 x 1 is the numerator

Answer 6

thanks!!