Two new drugs are to be tested using a group of 50 laboratory mice, each tagged with a number for identification purposes. Drug A is to be given to 17 mice, drug B is to be given to another 17 mice, and the remaining 16 mice are to be used as controls. How many ways can the assignment of treatments to mice be made? (A single assignment involves specifying the treatment for each mouse-whether drug A, drug B, or no drug.) (Enter the exact number or an equivalent algebraic expression.)
Two new drugs are to be tested using a group of 50 laboratory mice, each tagged with a number for identification purposes. Drug A is to be given to 17 mice, drug B is to be given to another 17 mice, and the remaining 16 mice are to be used as controls. How many ways can the assignment of treatments to mice be made? (A single assignment involves specifying the treatment for each mouse-whether drug A, drug B, or no drug.) (Enter the exact number or an equivalent algebraic expression.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:**Text Transcription:**
Two new drugs are to be tested using a group of 50 laboratory mice, each tagged with a number for identification purposes. Drug A is to be given to 17 mice, drug B is to be given to another 17 mice, and the remaining 16 mice are to be used as controls. How many ways can the assignment of treatments to mice be made? (A single assignment involves specifying the treatment for each mouse—whether drug A, drug B, or no drug.) (Enter the exact number or an equivalent algebraic expression.)
**Explanation:**
The problem involves determining the number of distinct ways to assign treatments to 50 mice. There are three groups:
- 17 mice receive Drug A
- 17 mice receive Drug B
- 16 mice are controls (receive no drug)
This is a combinatorial problem involving choosing subgroups from a larger group. No graphs or diagrams are present.
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