How many numbers greater than a million can be formed with the dig | Filo
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Class 11

Math

Co-ordinate Geometry

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How many numbers greater than a million can be formed with the digits ?

Solution:
Any number of greater than a million will contain all the seven digits.
Now, we have to arrange these seven digits, out of which occurs twice, occurs twice and the rest are distinct.
The number of such arrangements
These arrangements also include those numbers which contain at the million’s place.
Keeping fixed at the millionth place, we have digits out of which occurs twice, occurs thrice and the rest are distinct.
These arrangements also include those numbers which contain at the million’s place.
Keeping fixed at the millionth place, we have digits out of which occurs twice, occurs thrice and the rest are distinct.
These digits can be arranged in   ways
Hence, the number of required numbers .
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