question_answer

How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order?

A) 120   

B)                        240        

C)        360        

D)        480

Correct Answer: C

Solution :

The number of permutations of n things of which p are alike of one kind, q are alike of second kind and remaining all are distinct, is . Total number of ways in which all letters can be arranged in alphabetical order. There are two vowels (A, E) in the word GARDEN. Total number of ways in which these two vowels can be arranged Total number of required ways