how many three digit numbers can be formed from 0,1,2,3,4,5,6,7,8,9? (with solution)
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how many three digit numbers can be formed from 0,1,2,3,4,5,6,7,8,9? (with solution)
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problem:
how many three digit numbers can be formed from 0,1,2,3,4,5,6,7,8,9
solution:
The number is three digits, so for them let's take three blanks _ _ _
The first blank can be filled using any of the digits from 1–9 because if we use zero to fill the first blank the number becomes of two digits. Hence we have 9 ways to fill the first blank.
Now, the second blank can be filled by any of the remaining 10 digits because repetition is allowed and thus the digit selected for the first blank can also be selected. So 10 ways.
Similarly 10 ways for the third blank.
So total number of combinations become 9 x 10 x 10 = 900
answer:
Hence the answer is 900 such number can be formed.
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