Question

In how many ways the word “ARTICLE” can be arranged in a row so that vowels occupy even places? a) 132 b) 144 c) 72 d) 160

Answer 1

Answer:

144

Step-by-step explanation

if we fix the vowels a,i,e in  order that is   in the following way

_ V1 _ V2 _ V3_,we get four gaps to fill the remaining places satisfying the condition that vowels must be in even places,now all three vowels can be rearranged in 3 places in 3! ways and the remaining consonants can be arranged in 4 places in 4! ways.

total ways = 4!*3!= 24*6=144