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Question: Answered & Verified by Expert
The number of 6 digit number that can be formed using the digits 0, 1, 2, 5, 7 and 9 which are divisible by 11 and no digit is repeated is:
MathematicsPermutation CombinationJEE MainJEE Main 2019 (10 Apr Shift 1)
Options:
  • A 36
  • B 60
  • C 72
  • D 48
Solution:
2165 Upvotes Verified Answer
The correct answer is: 60

Only one possibility is there, (9,1,2) or (0,5,7) as in even or odd places
Total number of required 6 digit numbers

=(9,1,2 in odd and 0,5,7 in even places)+(9,1,2 in even places and 0,5,7 in odd places)
=3!×3!+3! 2×3!
=36+24
=60

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