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Question

A Five-digit number divisible by $$3$$ are formed using $$0,1,2,3,4,5$$ without repetition. The total number of ways this can be done is


A
216
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B
240
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C
600
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D
3125
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Solution

The correct option is B $$216$$
Five digit number divisible by $$3$$
The rule for divisibility by $$3$$, $$3$$ the addition of the no should be a multiple of $$3$$
So, we can have
$$1, 2, 3, 4, 5\rightarrow$$ sum is $$15$$
and $$0, 1, 2, 4, 5\rightarrow$$ sum is $$12$$
We can have only these may no.

1199579_1223767_ans_2fadeaaf376d40b4aaffa32001bdeebd.jpg

Maths

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