Q) Determine the number of natural numbers smaller than 10^4, in the decimal notation of which all the digits are distinct.
Asked by Anish
29th November 2018,
11:38 AM
Answered by Expert
Answer:
According to the question, the number of natural numbers smaller than 104 in the decimal notation in which all the digits are distinct are
The required number consists of 4 digit, 3 digit, 2 digit and 1 digit.
Total number of 4 digit natural number = 
.........(i)
.........(i)Total number of 3 digit natural number = 
........(ii)
........(ii)Total number of 2 digit natural number = 
........(iii)
........(iii)Total number of 1 digit natural number = 
.........(iv)
.........(iv)The required number of natural numbers is sum of all (i), (ii), (iii) and (iv) we get 5274
Answered by Expert
29th November 2018,
6:27 PM
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