Five digit number divisible by 3 is to be formed using the digits 0,1,2,3,4 and 5, without repetition. The total number of ways this can be done, is
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the five digit number that is formed by 0,1,2,3,4,5 which is divisible by 3 is 54321
54321/3=18107
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without 0 the five digit number are
5x4x3x2x1 =120
with 0 we don't use 3 then only the number divisible by 3
now we have 0,1,2,4,5
first we use 4 nonzero in 4 ways
second digit in 4 ways
so on
number of 5 digit number with 0 is 4x4x3x2x1=96
total 120+96 =216
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