Workshop05 - Write each combination down. Remember, the...

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CHEN 3010 Applied Data Analysis Fall 2004 Names _________________________________ _________________________________ _________________________________ _________________________________ Workshop #5: Permutations and Combinations Each group should have 8 lettered cubes. 1. Select 3 of your cubes. By hand, determine how many permutations can be made with these 3 cubes. Write down each arrangement in the space below. How many permutations can be made with 4 cubes? Write down each arrangement in the space below. What is the relationship between the number of permutations of r distinct objects and r+1 distinct objects? 2. How many permutations can be made using all the cubes in your set? 3. If three of your pieces were identical, how many arrangements would be possible?
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CHEN 3010 Workshop #5 Page 2 4. Select 5 of your 8 cubes at random. Using the 5 cubes, select all the possible combinations of 3 cubes.
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Unformatted text preview: Write each combination down. Remember, the order of the 3 cubes selected is not important (ABC is the same as CBA). How many combinations are there? For each of your combinations, how many permutations are there? Consequently, how many total permutations are there? Calculate the number of permutations and combinations using the formulas to confirm your answers above. 5. The Powerball lottery game uses 49 numbered balls in one drum and 42 numbered balls in the Powerball drum. Five balls are selected at random from the drum with 49, and one is made from the Powerball drum. How many selections are possible? If the order of selection in the drum with 49 were taken into account, how many selections would be possible? Bonus question: How many ways can you get 3 balls correct from the drum of 49 and the Powerball correct? [ Prizes will be awarded! ]...
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Workshop05 - Write each combination down. Remember, the...

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