In how many ways can 8 different dolls be packed in 5 identical gift boxes such that no box is empty if any of the boxes hold all of the toys?

Question

In how many ways can 8 different dolls be packed in 5 identical gift boxes such that no box is empty if any of the boxes hold all of the toys?
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Solution 1

The problem can be solved using the concept of combinations in combinatorics.

Step 1: Since no box can be empty, we first place one doll in each box. We have 8 dolls, so we can do this in 8 choose 5 ways.

Step 2: Now we have 3 dolls left and 5 boxes. Each doll can go into any of the 5 boxes. So, Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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