how many 3 digit numbers can be formed using the digits 1,2,3,4,5,6,7 , 8 and9 if the repettion of the digits is not allowed write down the smallest and greatest of these numbers
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Answer:
504 THREE DIGIT NUMBERS CAN BE FORMED
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Step-by-step explanation:
See we have to form a three digit no. By using these 9 nos.
So let us assume that we have to fill three vacant spaces _ _ _ with 9 nos.
Now no. Of ways of filling the first vacant space is 9. Now one number among these nine numbers will be used.
And since repetition of numbers is not allowed, the number of ways of filling the next vacant space becomes 8. Similarly, the number of ways of filling the last vacant space becomes 7.
And now use the principle of multiplication to see how many three digit numbers can be formed. i.e.9x 8x 7=504.
Hence 504 three digit numbers can be formed.
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Step-by-step explanation:
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