Permutations & Combinations
Arrangement with restricted order of elements
MMTS_Full_Test_21
Grade 12
Question:
How many ways are there to arrange the letters of the word "GARDEN" with the vowels in alphabetical order?
(A) 120
(B) 480
(C) 360
(D) 240
Step-by-Step Solution
Key Concept: Vowels: A, E (2 vowels). Total arrangements of 6 letters = $6!$. Fraction with A before E = half. So $6!/2=360$.
$6!/2!=720/2=360$.
Correct Answer: (C) 360