JEE Main 2014 Mathematics question

MathematicsPermutations and CombinationsJEE Main 2014

8-digit numbers are formed using the digits 1, 1, 2, 2, 2, 3, 4, 4. The number of such numbers in which the odd digits do not occupy odd places, is:

Answer: (2)

Solution

The odd digits are 1, 1, 3 (three of them) and the even digits are 2, 2, 2, 4, 4 (five). The odd places are positions 1, 3, 5, 7 — four of them — and the even places are 2, 4, 6, 8. All three odd digits must go into the four

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Question ID VK-104587