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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Oh, dude, let me break it down for you. So, from the integers 1, 2, 3, 4, 5, and 6, you can form numbers with at least three different digits. That would be 6 choose 3, which is 20 different numbers. Like, you can have 123, 124, 125, and so on. So, yeah, there are 20 numbers with at least three different digits that can be formed from those integers.
Infinitely many. For example, 123, 1231, 12321, 1212123, are all made from three (not tree!) different digits.
279,999,720
either irrational numbers, integers, integers, rational numbers, or whole numbers
Only one. 123456.
100000 of course. If digits have to be different then 123456.
None. Extremely simple proof: To be divisible by 5 the units digit must be 5. But then it would not be divisible by 2.