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Numbers formed should be of at least 3 digits means they may be of 3 digits, 4 digits, 5 digits or 6 digits.

There are 6 choices for digit in the units place. There are 5 and 4 choices for digits in ten and hundred’s place respectively.

So, total number of ways by which 3 digits numbers can be formed = 6.5.4 = 120

Similarly, the total no.of ways by which 4 digits numbers can be formed = 6.5.4.3 = 360.

the total no. of ways by which 5 digits numbers can be formed = 6.5.4.3.2 = 720.

The total no.of ways by which 4 digits numbers can be formed = 6.5.4.3.2.1 = 720.

So, total no.of ways by which the numbers of at least 3 digits can be formed = 120 + 360 + 720 + 720 = 1920.

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adars fpv

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βˆ™ 2y ago
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βˆ™ 5y ago

Infinitely many. For example, 123, 1231, 12321, 1212123, are all made from three (not tree!) different digits.

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Q: How many numbers of at least tree different digits can be formed from the integers 123456?
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What is the sum of positive six digit integers whose digits are a permutation of the digits in the number 123456?

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