Question

In how many different ways can the letters of the word machine be arranged so that the vowels may occupy only the odd position?

Answer 1

Answer:

in 5 ways

Step-by-step explanation:

1. in.

2. ace.

3. an.

4. inch.

5. am.

Answer 2

A I E

position odd 1. 3. 5. 7

total 4 positions for 3 vowels

4p3 = 24

3 places out of 4 has filled

Now left four places

2. 4. 6 & any odd

M C H N

total 4 positions for 4 consonants

4p4 = 24

total arrangements = 24*24 = 576