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  • The total number of three-digit numbers, divisible by 3, which can be formed using the digits 1, 3, 5, 8, if repetition of digits is allowed, isOption: 1</strong

The total number of three-digit numbers, divisible by 3, which can be formed using the digits 1, 3, 5, 8, if repetition of digits is allowed, is

Option: 1

21


Option: 2

18


Option: 3

20


Option: 4

22


Answers (1)

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$$ \begin{aligned} & (1,1,1)(3,3,3)(5,5,5)(8,8,8) \\ & (5,5,8)(8,8,5)(1,3,5)(1,3,8)\\ &Total number =1+1+1+1+\frac{3 !}{2 !}+\frac{3 !}{2 !}+3 !+3 !=22 \end{aligned}

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