Question

How many positive integers n > 5, 000, 000 can we form using the digits 3, 4, 4, 5, 5,6,7

my attempt:"
there are 4 ways to choose the first digit. {5,5,6,7}
and then there are 6! ways to choose the rest. then divide by the repeats.

therefore there are 4!6!/2!2! ??