In how many ways can the digits in the number 9,662,222 be arranged?

Answer 1

Normally, with 7 distinct items, there are 7! = 5040 ways to order them.

Since there are 2 6's and 4 2's, their order is indistinguishable. So, there are only

7! / 2!4! = 105 ways

which can be distinguished from each other.

Answer 2

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