The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in 1421, including itself, is:
Question:
The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in 1421, including itself, is:
The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in 1421, including itself, is:
Options
Answer: 2222
Explanation:
The digits are 1,4,2,1. Total distinct arrangements = 4!/2! = 12. Sum of all numbers = (sum of digits)×(sum of place values)×(arrangements)/total digits = (1+4+2+1)×(1111)×12/4 = 8×1111×3 = 26664. Average = 26664/12 = 2222.
Explanation:
The digits are 1,4,2,1. Total distinct arrangements = 4!/2! = 12. Sum of all numbers = (sum of digits)×(sum of place values)×(arrangements)/total digits = (1+4+2+1)×(1111)×12/4 = 8×1111×3 = 26664. Average = 26664/12 = 2222.
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