How many 7 digit positive integers are there such that the product of the individual digits of each number is equal to 10000?

Answer 1

4,2,2,5,5,5,5

7!/(2!4!) =105

4,4,1,5,5,5,5

Same, 105

8,2,1,5,5,5,5

7!/4!=210

So total is 420