Permutations & Combinations
Arrangement with restricted order of elements
MJMT_Full_Test_09
Grade 12
Question:
How many ways are there to arrange the letters of the word "GARDEN" with the vowels in alphabetical order?
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: 3