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- Solve! Five digit number divisible by 3 is formed using 0, 1, 2, 3, 4, 6 and 7 without repetition. Total number of such numbers are
Five digit number divisible by 3 is formed using 0, 1, 2, 3, 4, 6 and 7 without repetition. Total number of such numbers are
- Option 1)
312
- Option 2)
3125
- Option 3)
120
- Option 4)
216
Answers (1)
As we learnt in
Number of Permutations without repetition -
Arrange n objects taken r at a time equivalent to filling r places from n things.
- wherein
Where
We have 2 cases.
Case I: 0, 1, 2, 3, 6
Case II: 1, 3, 4, 6, 7
Total number of such numbers = 216
Correct option is 4.
Option 1)
312
This is an incorrect option.
Option 2)
3125
This is an incorrect option.
Option 3)
120
This is an incorrect option.
Option 4)
216
This is the correct option.
View full answer
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