Concept: The question tests on the basics of Counting

Solution:

The consonants are PRMT and the vowels are EUE

The 1st place and the last place have to have consonants. Choose 2 out of 4 in 4C2 = 6 and arrange in 2! ways.

Arrangement for consonants are 6 * 2 = 12

The remaining 5 letters can be arranged in 5!/2! = 120 / 2 = 60 as we have two E's

Total number of ways = 12 * 60 = 720

Option d