In how many ways can the letters of the word INSURANCE be arranged , so that vowels are occupied at even places ?

Explanation

To solve the problem of arranging the letters of the word "INSURANCE" such that vowels occupy even places, we will follow these steps:

### Step 1: Identify the letters and their counts
The word "INSURANCE" consists of 9 letters: I, N, S, U, R, A, N, C, E.
- The vowels in the word are: I, U, A, E (4 vowels).
- The consonants in the word are: N, S, R, N, C (5 consonants).

### Step 2: Determine the positions for vowels
...