A basketball squad has ten players.What expression represents the number of 5-player teams that can be made if John, the captain, must be on every team?

A teacher wants to divide her class into groups. How many different three-person groups can be formed from a class of 22 students?

Find the total number of different twelve-letter arrangements that can be formed using the letters in the word PENNSYLVANIA?

The letters of any word can be rearranged.Carol believes that the number of different 9-letter arrangements of the word "TENNESSEE" is greater than the number of 7-letter arrangements of the word "VERMONT".Is she correct?Justify your answer.

Alan, Becky, Jesus, and Mariah are four students in the chess club.If two of these students will be selected to represent the school at a national convention, how many combinations of two students are possible?

On a bookshelf, there are five different mystery books and six different biographies.How many different sets of four books can Emilio choose if two of the books must be mystery books and two of the books must be biographies?Justify your answer.

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Three roses will be selected for a flower vase.The florist has one red rose, one white rose, one yellow rose, one pink rose, and one orange rose from which to choose.

What is the probability that three roses selected at random will contain 1 red rose, 1 white rose, and 1 pink rose?

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Three roses will be selected for a flower vase.The florist has one red rose, one white rose, one yellow rose, one pink rose, and one orange rose from which to choose.

What is the probability that three roses selected at random willnotcontain an orange rose?

Determine how many different committees can be formed if3 members must be teachers and2 members must be students.

A class committee is to be made that consists of 2 freshmen, 2 sophomores, 3 juniors, and 3 seniors. If students are being randomly chosen from groups of 12 freshmen, 17 sophomores, 16 juniors, and 20 seniors, how many possible committees can be formed?

The probability of rain on any given day is 2/3.What is the probability of at most one day of rain during the next three days?

in a baseball game, the probability that Peter gets on base safely is 3/7.If he comes to bat four times, what is the probability that he will get on base safelyat leastthree times?

Determine the probability of landing on tails at most 33 times if you flip a fair coin 80 times.Round your answer to thenearest tenth.

You are taking a true/false test that has 60 questionsIf you guess on each question, and have the same chance of guessing the correct answer on each question, what is the probability you get at least 65% of the questions correct?