**Counting with Identical Items**

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Summary

The content provides a comprehensive guide on calculating arrangements involving identical items, a crucial concept for GMAT preparation.

- Introduces the concept of arranging n unique items and extends it to scenarios involving identical items, requiring a special approach.
- Explains the method to calculate arrangements when some objects are identical, using the factorial formula adjusted for identical items.
- Illustrates the concept with examples, including arranging books on a shelf and the letters in the name 'Mississippi', to clarify the calculation process.
- Offers a practice problem to apply the learned concept, reinforcing the method of dividing the total factorial by the factorial of the number of identical items.
- Summarizes the key rule for calculating arrangements with identical items, emphasizing the importance of listing and counting as a strategy in solving counting problems.

Chapters

00:00

Introduction to Arrangements with Identical Items

00:28

Calculating Arrangements with Identical Items

03:17

The Mississippi Rule

04:31

Practice Problem and Summary