If the first 3 digits are not 666 or 900999 how many differe

If the first 3 digits are not 666 or 900-999 how many different social security numbers are possible

Solution

we have nine digits but the first 3 digits are not 666 or 900 - 999

so we have for different Social security number

9* 8*7 * 9*9*9*9*9*9 minus the number that are between 999-900

267846264 - 99 = 267846165

there are 267846165 different ways