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There are 4 digits. You can pick one of them as the first digit. So you can pick the first number 4 ways. Having picked the first number, the second number you can pick in only 3 ways. Having picked the first number and the second number you can pick the third number in only 2 ways. Having picked the first number and the second number and the third number you can pick the fourth number in only 1 way. So total ways of arranging 1468 would be 4 x 3 x 2 x 1 = 24
randomly, that's lottery...
You really pick your own lucky number but most people like 2,7,3,6, and 9.
458,377,920 for 5 and 21,085,384,320 with the 6th number you need
One-third of ANY number is less than half of that number - no matter what number you pick.