Maths Permutations & Combination Fundamental Principle of Counting, Problem Based on Selection of Given Object & Arrangement of Given Object. Numeric Response
Published on: August 13, 2026

How many different permutations are possible using all the letters of the word MISSISSIPPI, if no two Ι 's are together?

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
7350

(7350)

Sol. Total no. of M are = 1

Total no. of Ι are = 4

Total no. of P are = 2

Total no. of S are = 4

First we arrange all the words other than Ι 's are

Now, there are 8 places which can be fulfilled by I's i.e. the number of ways is 8 C 4

Total required no. = 105 × 8 C 4 = = 105 × 70 = 7350

──────────────────────────────────────────────────────────────────────────────────────────

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.