How many different ways can the letters in the word 'LEADING' be arranged so that the vowels are always together?
A. 360
B. 480
C. 720
D. 5040
Answer:C
How many different ways can the letters in the word 'LEADING' be arranged so that the vowels are always together?
A. 360 B. 480 C. 720 D. 5040
Explanation: There are seven letters in the word 'LEADING.'When the vowels EAI are constantly together, they are thought to make a single letter.The letters LNDG must then be arranged (EAI).Now you can arrange 5 (4 + 1 = 5) letters in 5! = 120 different ways.The vowels (EAI) can be placed in 3! = 6 different ways.The required number of ways is 720 (120 x 6).