Question

How many different ways can the letters of the word 'BENEFIT' be arranged so that the vowels always come together?

Answer 1

Answer:

Explanation:

Consonants are BNFT

vowels are EEI

Arrangement is BNFT EEI

5! for (BNFT =4 and EEI total 1)

3!/2! for vowels rearranging among themselves and EE repeated twice.

Final answer will be 5!*(3!/2!)

Answer 2

Answer:

360

Explanation:

BENEFIT contains 3 vowels so it is considered as one element so 5!

3 elements arranged in 3 factorial EE is 2 times so divide by 2 factorial.

(5 factorial * 3 factorial)/2 factorial =360