How many different words from the letters of the word MATHEMATICS can be formed so that all the vowels always come together in any word?
Options
A10080
B120960
C4989600
D20160
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Permutations and CombinationsPYQ Sept 25Question 4264 of 176
All Questions Correct Answer
✅ Option b — 120960
All Options:
- A10080
- B120960
- C4989600
- D20160
About This Chapter: Permutations and Combinations
Paper
Paper 3: Quantitative Aptitude
Weightage
4-6 Marks
Key Topics
Factorials, Permutations, Combinations
This chapter deals with the fundamental principles of counting. It covers factorials, circular permutations, restricted permutations, combinations, and the differences between selecting items versus arranging them.
View Official ICAI SyllabusExam Strategy Tip
The most common mistake is confusing 'P' (Arrangement) with 'C' (Selection). If order matters (like opening a lock), use P. If order doesn't matter (like choosing a team), use C.
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