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Q: How many six digit numbers are not palindromes?

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For there to be palindromes, each digit must be replicated. Therefore there are at most three distinct digits.If there are 3 pairs of different digits, then there are 6 palindromes. If there can be more duplicate digits, then there are 27 palindromes.

There are 449999 such numbers.

720 of them.

There are 90,000 such numbers.

Six. 1551 2442 3333 4224 5115 6006

The number of six digit numbers that you can make from ten different digits ifrepetitions of same digit on the six digit number is allowed is 1 000 000 numbers(including number 000 000).If no repetitions of the the same digit are allowed then you have:10P6 = 10!/(10-6)! = 151 200 different six digit numbers(six digit permutations form 10 different digits).

1000... 0600-0699 1600-1699 and so on.

six

There are a handful of six digit numbers that have no numbers repeating. Some examples are 123456, 234567, 345678, 456789, 567012, 654321, 765432, 876543, and 987654.

987654

100,000

Six

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