how many different numbers each of six digits can be formed by using the digits 1,2,1,2,0,2

Dear student
There are six digits-one 0,two 1's and three 2's.They can be arranged in6!2!3!=7202×6=60 ways.But this includes numbers which have 0 on extreme left and hence are notstrictly six digit numbers.The number of such numbers is 5!2!3!by fixing 0 at the extreme left position=10Hence, the required number of numbers=60-10=50
Regards

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