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  4. Assertion: A five digit number divisible by 3 is to be formed using the digits 0,1,2,3,4 and 5 with repetition. The total number formed are 216. Reason: If sum of digits of any number is divisible by 3 then the number must be divisible by 3 .

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Q. Assertion : A five digit number divisible by $3$ is to be formed using the digits $0,1,2,3,4$ and $5$ with repetition. The total number formed are $216$.
Reason : If sum of digits of any number is divisible by $3$ then the number must be divisible by $3$ .

Permutations and Combinations

Solution:

Number form by using $1,2,3,4,5=5 !=120$
Number formed by using $0,1,2,4,5$
image
Total number formed, divisible by $3$
(taking numbers without repetition) $=216$
Statement 1 is false and statement 2 is true.