Question -
Answer -
Given:
The word ‘ALGEBRA’
There are 4 consonantsin the word ‘ALGEBRA’
The number of ways toarrange these consonants is 4P4 = 4!
There are 3 vowels inthe word ‘ALGEBRA’ of which, 2 are A’s
So vowels can bearranged in n!/ (p! × q! × r!) = 3! / 2! Ways
Hence, the requirednumber of arrangements = 4! × (3! / 2!)
= [4×3×2×1×3×2×1] /(2×1)
= 4×3×2×1×3 = 72