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Question

The number of integers greater than 6,000 that can be formed, using the digits 3,5,6,7 and 8, without repetition, is

A
216
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B
192
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C
120
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D
72
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Solution

The correct option is B 192
We can have either 4 digit or 5 digit number.

First consider 4 digit number.

We can take 6,7,8 at the thousandth place.

The next three places can be filled in 4C33! way.

So we get 72 such numbers

For 5 digit number, we can choose them in 5! ways(120).

So total no of such numbers are 72+120=192.

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