Question

What is the probability that a phone number generated using the digits 1, 2, 2, 4, 5, 5, 6, and 2 is the number 654-5222

Answer 1

336 ways

Explanation:

The digits are 1, 2, 2, 4, 5, 5, 6, and 2 that is total eight digits.

The number 654-5222 contains 7 digits.

So, we have find The number of permutations for choosing 7 digits from 8 digits given above.

This can be done in following ways

`(8!)/(3!*2!)` =
`(40320)/(6*2)`

= 336 ways