In how many distinct ways can the digits in the number 9,400,000 be​ arranged?

Answer 1

read up on permutations with duplicates.
There are 7 digits, so there are 7! ways to arrange them.
But the 5 zeroes can be shuffled in 5! ways that look exactly alike.
So, there are 7!/5! = 42 distinguishable ways to do it.

Answer 2

I think it’s 7