Kate has space for 4 plants on her windowsill a) In how many ways can she arrange the 4 plants on her windowsill? 256 b) Is part a) a permutation or a combination? Explain your reasoning. O Permutation, because the order doesn't matter O Combination, because the order doesn't matter O Permutation, because different order will give different arrangements on the windowsill O Combination, because different order will give different arrangements on the windowsill c) Kate went ahead and bought 3 more plants and she now has 7 plants in total. How plants can she put on the windowsill? 2401 many different groups of 4 d) Is part c) a permutation or a combination? Explain your reasoning. O Combination, because the order matters when picking the 4 plants from the 7 available. O Permutation, because the order matters when picking the 4 plants from the 7 available. O Combination, because the order doesn't matter when picking the 4 plants from the 7 available. O Permutation, because the order doesn't matter when picking the 4 plants from the 7 available
Kate has space for 4 plants on her windowsill a) In how many ways can she arrange the 4 plants on her windowsill? 256 b) Is part a) a permutation or a combination? Explain your reasoning. O Permutation, because the order doesn't matter O Combination, because the order doesn't matter O Permutation, because different order will give different arrangements on the windowsill O Combination, because different order will give different arrangements on the windowsill c) Kate went ahead and bought 3 more plants and she now has 7 plants in total. How plants can she put on the windowsill? 2401 many different groups of 4 d) Is part c) a permutation or a combination? Explain your reasoning. O Combination, because the order matters when picking the 4 plants from the 7 available. O Permutation, because the order matters when picking the 4 plants from the 7 available. O Combination, because the order doesn't matter when picking the 4 plants from the 7 available. O Permutation, because the order doesn't matter when picking the 4 plants from the 7 available
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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Transcribed Image Text:**Kate Has Space for 4 Plants on Her Windowsill**
a) In how many ways can she arrange the 4 plants on her windowsill?
**Answer:** 256
b) Is part a) a permutation or a combination? Explain your reasoning.
- Permutation, because the order doesn't matter.
- **Combination**, because the order doesn't matter.
- Permutation, because a different order will give different arrangements on the windowsill.
- Combination, because a different order will give different arrangements on the windowsill.
c) Kate went ahead and bought 3 more plants and she now has 7 plants in total. How many different groups of 4 plants can she put on the windowsill?
**Answer:** 2401
d) Is part c) a permutation or a combination? Explain your reasoning.
- **Combination**, because the order matters when picking the 4 plants from the 7 available.
- Permutation, because the order matters when picking the 4 plants from the 7 available.
- Combination, because the order doesn't matter when picking the 4 plants from the 7 available.
- Permutation, because the order doesn't matter when picking the 4 plants from the 7 available.
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