How many 4 digits even numbers are possible from digits 1 to 9 if repetition is allowed?(a) 6561(b) 2016(c) 1344(d) 2916I have been asked this question in an interview for internship.The query is from Fundamental Principle of Counting topic in division Permutations and Combinations of Mathematics – Class 11

How many 4 digits even numbers are possible from digits 1 to 9 if repe

1.	How many 4 digits even numbers are possible from digits 1 to 9 if repetition is allowed?(a) 6561(b) 2016(c) 1344(d) 2916I have been asked this question in an interview for internship.The query is from Fundamental Principle of Counting topic in division Permutations and Combinations of Mathematics – Class 11
Answer» The correct CHOICE is (d) 2916 The best explanation: Total digits are 1-9 i.e.9. EVEN number means 2,4,6,8 at unit’s PLACE. So, 4 possible digits for unit place. Rest all positions are FILLED in 9 ways. Hence, by the fundamental principle of COUNTING, total possible numbers are 999*4 = 2916.

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