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Q.

The number of numbers greater than 106 that can be formed using the digits of the number 2334203, if all the digits of the given number must be used, is

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a

360

b

420

c

260

d

None of these

answer is A.

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Detailed Solution

The total number of permutations of the digits of given number is7!2!3!=420But when 0 occupies the first position, the number becomes a six-digit number which are not acceptable, since such a number will become less then 106.The total number of such six-digit numbers is=6!2!3!=60Hence, the required number is 420 – 60 = 360.
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