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How many 5-digit numbers are possible without repetition of digits?(a) 27216(b) 50400(c) 100000(d) 90000I had been asked this question in an interview for internship.I'd like to ask this question from Fundamental Principle of Counting in chapter Permutations and Combinations of Mathematics – Class 11

Answer»

The correct choice is (a) 27216

For EXPLANATION I would say: 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*9*8*7*6 = 27216.



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