CAT Quantitative Aptitude Questions | CAT Permutation and Combination Questions

The question is from Permutation and Combination. This question is about Letters Rearrangment. We need to find out the number of ways the letters can be rearranged from a particular word with a condition given. This section hosts a number of questions which are on par with CAT questions in difficulty on CAT Permutation and Combination, and CAT Probability.

Question 31: How many ways are there for arranging letters of the word AMAZING such that the ‘I’ appears between the two ‘A’s?

1. 5 ! ways
2. 7 ! ways
3. 8 ! ways
4. 4 ! ways

Explanatory Answer

Method of solving this CAT Question from Permutation and Combination: Rearrangements such that I appears between the 2 A's

Consider AIA as one component as I has to appear between 2 A’s
Thus we have MZNG(AIA)
This can be arranged in 5! ways

The question is "How many ways are there for arranging letters of the word AMAZING such that the ‘I’ appears between the two ‘A’s?"

Hence the answer is "5 ! ways"

Choice A is the correct answer.