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There is a 50x50x50 cube comprised of 2x2x2 smaller cubes. We decide to "strip" the big cube by taking all of the 2x2x2 cubes off of the outer layer and continue to do this until we are left with the smallest cube possible. How many times will we have "stripped" the cube by the end?

There is a 50x50x50 cube comprised of 2x2x2 smaller cubes. We decide to "strip" the big cube by taking all of the 2x2x2 cubes off of the outer layer and continue to do this until we are left with the smallest cube possible. How many times will we have "stripped" the cube by the end?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 76E
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There is a 50x50x50 cube comprised of 2x2x2 smaller cubes. We decide to "strip" the big cube by taking all of the 2x2x2 cubes off of the outer layer and continue to do this until we are left with the smallest cube possible. How many times will we have "stripped" the cube by the end?
Transcribed Image Text:There is a 50x50x50 cube comprised of 2x2x2 smaller cubes. We decide to "strip" the big cube by taking all of the 2x2x2 cubes off of the outer layer and continue to do this until we are left with the smallest cube possible. How many times will we have "stripped" the cube by the end?
We have an empty 4x4 grid. We then place 4 apples at random in different squares of the grid. What is the probability that none of the apples are in the same row or column as another apple? (Answer should be in reduced fraction form "x/y")
Transcribed Image Text:We have an empty 4x4 grid. We then place 4 apples at random in different squares of the grid. What is the probability that none of the apples are in the same row or column as another apple? (Answer should be in reduced fraction form "x/y")
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