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How many 5-digit numbers are possible if repetition of digits is allowed?(a) 27216(b) 50400(c) 100000(d) 90000I have been asked this question during an interview for a job.The question is from Fundamental Principle of Counting topic in division Permutations and Combinations of Mathematics – Class 11

Answer»

The correct choice is (d) 90000

For explanation: Total DIGITS are 0-9 i.e.10. In a 5-digit number 0 cannot be at FIRST place.

So, by the fundamental PRINCIPLE of COUNTING, total numbers POSSIBLE are 9*10*10*10*10=90000.



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