Joanna is running for senior class president. She asks her peers to complete a s

Question

Joanna is running for senior class president. She asks her peers to complete a survey ranking the following in order of importance to them: sports, clubs, test scores, prom, school lunch quality, administrative consequences, and study halls. a). How many different rankings are possible? b). What fraction of the possible rankings put test scores first? *Use the math editor Squareroot x to enter the fraction. How many more possible arrangements can be made using the letters of the word PERMUTATIONS than using the letters of the word COMBINATIONS? Justify your answer. A blood bank needs twenty people to help with a blood drive. Twenty-five people have volunteered. How many different groups of twenty can be formed from the twenty-five volunteers?

Explanation / Answer

i) There 7 items on which they have to rank

We have to find all possible rankings when selecting 7 out of 7 items

It can be given by nPr = 7P7 = 7!/(7 -7)! = 5040

ii) So, test scores fixed at 1 st position , remaining 6 itmes they have to rank

So, It can be given as 6P6 = 720

Fraction of rankings putting test scores on first position = 720/5040 = 72/504

                                                   = 36/252 = 9/43

Related Questions

Navigate

• Browse (All)
• Browse J
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.