JEE Main 2014 — Permutation Combination Question with Solution
JEE Main 2014 (12 Apr Online)
Question
8-digit numbers are formed using the digits 1, 1, 2, . The number of such numbers in which the odd digits do no occupy odd places, is:
Choose an option
Show full solutionCorrect option: B
Correct answer
B120
Step-by-step explanation
In 8 digits numbers, 4 places are odd places.
Also, in the given 8 digits, there are three odd digits 1,1 and 3.
No. of ways three odd digits arranged at
No. of ways the remaining five digits 2 , 2, 2, 4 and 4 arranged at remaining five places
Hence, required number of 8 digits number
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This is a previous-year question from JEE Main 2014, covering the Permutation Combination chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.