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

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 2CC
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If possible, I need a very detailed explanation.

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 many different groups of 4
plants can she put on the windowsill? 2401
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
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? 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 many different groups of 4 plants can she put on the windowsill? 2401 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
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