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Natural numbers 1, 2, 3 In the order of 123456 910112… If it reaches 2889 digits, the sum of all digits
One digit: 9 digits, two digits: 90 × 2 = 180 digits, three digits: (2889-9-180) △ 3 = 900, that is to say: 9 + 90 + 900 = 999. Now put all the numbers together to three digits, one digit and two digits are preceded by 0, then the sum of 000 + 999 digits = 27001 + 998 digits and = 27002 + 997 digits and = 27.499 + 500 digits and = 27
Use 123456 to form an even number of 6 digits without repetition,
What is the number of such six digits
The total number of six is 6 × 5 × 4 × 3 × 2 × 1 = 720
Even numbers in 1,2,3,4,5,6 account for 1 / 2
The even number of bits is 1 / 2
So a total of 720 × 1 / 2 = 360
It consists of numbers 1, 2, 3, 4, 5 and 6______ An odd number of four digits without repetition
Method 1: 3 × 5 × 4 × 3 = 180 (pieces); method 2: the number of four digit numbers without repeated numbers can be composed of numbers 1, 2, 3, 4, 5 and 6: 6 × 5 × 4 × 3 = 360 (pieces), so that the four digit numbers can not be 2, 4 and 6, but can only be 1, 3 and 5, so that the number of odd digits and even digits are 3, so the number of 360, odd and even digits are 3 Half: 360 △ 2 = 180 (pieces); answer: a total of 180 four odd numbers without repeated numbers can be formed
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