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Last Two Digits of a Number

The number of...

Question

The number of different 6 - digit numbers that are divisible by 10, which can be formed using the digits 1, 2, 7, 0, 9, 5?

100

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120

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140

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160

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None of these

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Solution

The correct option is B 120
The numbers are divisible by 10 if 0 is in the unit's place.
X X X X X 0
$∴$ The required numbers which are divisible by 10 = P(5, 5) = 5! = 120.

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