Question 1115935: Hello, I was having trouble finding the solution to this multi-part problem. I know it is a lot to ask for but I would be grateful if I could get the answers but along with that the work all thought out so I can actually understand the concept! Thank you:)
1.A history pop quiz has one question in which students are asked to arrange the following presidents in chronological order: Hayes, Taft, Polk, Taylor, Grant, and Pierce.
After carefully reading the scenario, determine the number of possible different arrangements of the presidents. Which will work better to determine this answer, permutation or combination? Make an argument as to why your way works.
Besides your method, is there another method to determine the number of outcomes? Explain.
Calculate the probability that an unprepared student will guess the correct order. Explain.
2.In a Match 6 Lotto, winning the jackpot requires that you select six different numbers from 1 to 49, and that the same six numbers be drawn in the lottery. The winning numbers can be drawn in any order.
After carefully reading the scenario, determine the number of possible arrangements of the six numbers. Which will work better to determine this answer, permutation or combination? Justify your answer.
Besides your method, is there another method to determine the number of outcomes? Explain.
Calculate the probability of winning. Explain.
Make an argument for or against playing the lottery.
3.A classic counting problem in statistics is to determine the number of different ways that the letters of “Mississippi” can be arranged.
After carefully reading the scenario, determine the number of possible different arrangements of the letters of the word “Mississippi.” Which will work better to determine this answer, the fundamental counting rule or the permutations rule? Justify your answer.
Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 1.A history pop quiz has one question in which students are asked to arrange the following presidents in chronological order: Hayes, Taft, Polk, Taylor, Grant, and Pierce.
After carefully reading the scenario, determine the number of possible different arrangements of the presidents. Which will work better to determine this answer, permutation or combination? Make an argument as to why your way works.
Permutations are the way to count arrangements.
Besides your method, is there another method to determine the number of outcomes? Explain. Make a list of the 720 arrangements
Calculate the probability that an unprepared student will guess the correct order. Explain. 1/720
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2.In a Match 6 Lotto, winning the jackpot requires that you select six different numbers from 1 to 49, and that the same six numbers be drawn in the lottery. The winning numbers can be drawn in any order.
After carefully reading the scenario, determine the number of possible arrangements of the six numbers.:: 49!
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Which will work better to determine this answer, permutation or combination?
Justify your answer. Combinations are used to count sets
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Besides your method, is there another method to determine the number of outcomes? Explain. List the 49C6 = 13983816 different sets of 6 numbers
Calculate the probability of winning. Explain. 1/13983816
Make an argument for or against playing the lottery.:: Save your money.
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3.A classic counting problem in statistics is to determine the number of different ways that the letters of “Mississippi” can be arranged.
After carefully reading the scenario, determine the number of possible different arrangements of the letters of the word “Mississippi.” Which will work better to determine this answer, the fundamental counting rule or the permutations rule? Justify your answer. Permutations are used to count arrangements
# of permutations:: 11!/[4!*4!*2!] = 34650
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Cheers,
Stan H.
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Answer by ikleyn(52780)  (Show Source):
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