Question

Find the number of arrangements of the letters of the word ALGEBRA without altering the relative position of the vowels and the consonants Select one: a. 80 b. 64 c. 48 d. 72

Answer 1

"If we are taking the word ALGEBRA then there are three vowels and four consonants. In order to change the arrangement of the word with no change in the relative consonants and vowels are:

Since there are three vowels they can be arranged in 3!/2! Ways which will mean 3 ways

Also, there are four consonants that mean, there are 4! Ways to arrange them means 24 ways

Hence, total number of arrangement = 24 * 3 = 72

"