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  4. The number of 9 digit numbers, that can be fonned using all the digits of the number 123412341 so that the even digits occupy only even places, is

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Q. The number of 9 digit numbers, that can be fonned using all the digits of the number 123412341 so that the even digits occupy only even places, is

JEE MainJEE Main 2023Permutations and Combinations

Solution:

Even digits occupy at even places
$ \frac{4 !}{2 ! 2 !} \times \frac{5 !}{2 ! 3 !}=\frac{24 \times 120}{4 \times 12}=60$