How many different ways are possible to arrange the letters of the word “MACHINE” so that the vowels may occupy only the odd positions?	Select the correct option:
A) 800 B) 125 C) 348 D) 576 E) None
Solution   MACHINE has 4 consonants and 3 vowels.The vowels can be placed in position no. 1, 3, 5, 7   ⇒ Total number of ways possible = 4P3 = 24.   For each of these 24 ways the 4 consonants can occupy the other 4 places in 4P4 ways   ⇒ Total = 24 × 24 = 576   Answer 576
<result>D</result>
How many different ways are possible to arrange the letters of the word “MACHINE” so that the vowels may occupy only the odd positions?