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Cute numbers (Posted on 2018-02-01) Difficulty: 2 of 5
A 10 digit positive integer is called a cute number if its digits are from the set {1,2,3} and every two consecutive digits differ by one.

a. Prove that exactly five digits of a cute number are equal to 2.
b. Find the total number of cute numbers.
c. Prove that the sum of all cute numbers is divisible by 1408.

Source: Romanian math competition

No Solution Yet Submitted by Ady TZIDON    
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  Subject Author Date
re: AlsoCharlie2018-02-02 13:29:18
Hints/Tipsre: AlsoAdy TZIDON2018-02-02 09:23:26
Alsoarmando2018-02-02 05:30:17
Solutionsolution Charlie2018-02-01 11:24:36
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