Ashley is arranging 12 cans of food in a row on a shelf. She has 5 cans of beets, 1 can of olives, and 6 cans of peas. In how many distinct orders can the cans be arranged if two cans of the same food are considered identical (not distinct)?

Ashley is arranging 12 cans of food in a row on a shelf. She has 5 cans of beets, 1 can of olives, and 6 cans of peas. In how many distinct orders can the cans be arranged if two cans of the same food are considered identical (not distinct)?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

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Ashley is arranging 12 cans of food in a row on a shelf. She has 5 cans of beets, 1 can of olives, and 6 cans of peas. In how many distinct orders can the cans
be arranged if two cans of the same food are considered identical (not distinct)?
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