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  • A five digit number divisible by 3 is to be formed using the digits <img alt="0,1,2,3,4 \text{ and}\, 5" src="https://entrancecorner.oncodecogs.com/gif.latex?0%2C1%2C2%2C3%2C4%20%5Ctext%7B%20and%7D

A five digit number divisible by 3 is to be formed using the digits 0,1,2,3,4 \text{ and}\, 5 without repetition. The total number of ways, this can be done is

Option: 1

240


Option: 2

3125


Option: 3

600


Option: 4

216


Answers (1)

best_answer

As 0+1+2+3+4+5=15,

for a five digit number either do not use 0 or 3 .

When 0 is not used, the number of such numbers is 5 ! and when 3 is not used, the number of such numbers is 5 !-4 !

\therefore  Required number of ways =5 !+(5 !-4 !)=216

Posted by

rishi.raj

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