A high school is planning to put on the musical West Side Story. There are 20 singers auditioning for the musical. The director is looking for two singers who could sing a good duet. In how many ways can the director choose two singers from the 20 singers? Indicate if this is a permutation or a combination.
1 point
1
Question 4
4.
The director is also interested in the number of ways to choose a lead singer and a backup singer. In how many ways can the director choose a lead singer and the a backup singer? Indicate if this is a permutation or a combination.
1 point
1
Question 5
5.
How many groups of five songs can be chosen from a list of 35 songs?
1 point
1
Question 6
6.
How many ways can a person choose three different desserts from a dessert tray of eight desserts?
1 point
1
Question 7
7.
How many ways can a manager of a baseball team choose the lead-off batter and a second batter from a baseball team of nine players?
1 point
1
Question 8
8.
How many ways are there to place seven distinct pieces of art in a row?
1 point
1
Question 9
9.
How many ways are there to randomly select four balls without replacement from a container of 15 balls numbered 1 to 15?
1 point
1
Question 10
10.
A high school is planning to put on the musical West Side Story. There are 20 singers auditioning for the musical. The director is looking for two singers who could sing a good duet. What is the probability that Alicia and Juan are the two singers who are selected by the director?
1 point
1
Question 11
11.
The director is also interested in the number of ways to choose a lead singer and a backup singer. What is the probability that Alicia is selected the lead singer and Juan is selected the backup singer?
1 point
1
Question 12
12.
A bag contains 9 tiles, each with a different number 1 to 9. You choose a tile without looking, put it aside, choose a second tile without looking, put it side, then choose a third tile without looking. What is the probability that you choose tiles with the numbers 1, 2, and 3 in that order?
1 point
1
Question 13
13.
There are 11 students on a committee. To decide which 3 of these students will attend a conference, 3 names are chosen at random by pulling names one at a time from a hat. What is the probability that Sarah, Jamaal, and Mai are chosen in any order?
1 point
1
Question 14
14.
A school has 5 Spanish teachers and 4 French teachers. The school’s principal randomly chooses 2 of the teachers to attend a conference. What is the probability that the principal chooses 2 Spanish teachers?
1 point
1
Question 15
15.
There are 6 fiction books and 8 nonfiction books on a reading list. Your teacher randomly assigns you 4 books to read over the summer. What is the probability that you are assigned all nonfiction books?