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

Step-by-step solution

According to the question, 1 ,   1 ,   1 ,   2 ,   2 ,   3 ,   3 ,   4 ,   4 there are four even digits as 2 and 4 are repeating two times each. So, the even digits will occupy the even places in 4 ! ( 2 !   2 ! )   =   6 ways 3 and 1 are repeating two and three times respectively. So, the remaining places will be occupied by odd digits in 5 ! ( 3 !   2 ! ) = 10 ways Therefore, total 9 digits that can be formed =   6 × 10   =   60 . Hen