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Q.

5 digit number divisible by 9 are to be formed by using the digits 0, 1, 2, 3, 4, 7, 8 without repetition. The total number of such 5 digited numbers formed is

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a

216

b

214

c

212

d

200

answer is A.

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Detailed Solution

{0, 1, 2, 3, 4, 7, 8}  is the given set.

A number is divisible by 9 if sum of digits is divisible by 9

(i)   using 1, 2, 3, 4, 8 No. of 5 digit Number=5!

(ii)  using 0, 1, 2, 7, 8 No. of 5 digit Number=4(4!)

     Total Number of 5 digit Numbers =120+(24)4

                                                                 =120+96=216      

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