How many arrangements of the letters of the word ‘BENGALI’ can be made if the vowels are to occupy only odd places.	Choose the correct choice from the following answers:
A) 334
B) 576
C) 776
D) 297
E) 271
Explanation:   There are 7 letters in the word Bengali of these 3 are vowels and 4 consonants.   There are 4 odd places and 3 even places. 3 vowels can occupy 4 odd places in \inline {\color{Black}4P_3{}} ways and 4 constants can be arranged in \inline {\color{Black}4P_4{}} ways.   Number of words = \inline {\color{576lack}4P_3{}} x \inline {\color{576lack}4P_4{}}= 24 x 24 = 576   Answer: 576
<result>B</result>
How many arrangements of the letters of the word ‘BENGALI’ can be made if the vowels are to occupy only odd places.