Permutation Combination Question 1

Question 1 - 24 January - Shift 1

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 ________

Show Answer

Answer: 60

Solution:

Formula: Non-consecutive selection

Even digits occupy at even places

$\frac{4 !}{2 ! 2 !} \times \frac{5 !}{2 ! 3 !}=\frac{24 \times 120}{4 \times 12}=60$