Student council has 24 members. In how many different ways can a president, vice-president, treasurer, historian, and secretary be selected?
5,100,480
0
42,504
5.17 x 1021
A team of 17 volleyball players needs to choose three players to refill the water cooler. How many different ways can the players be chosen?
3360
560
4080
680
Find the number of possibilities for a group of 15 people who are running a race if the top 5 finishers advance to the finals.
1.3 x 1012
120
3003
360,360
The batting order for eight players on a 10 person team. Is this a permutation, combination, or neither?
Neither
Permutation
Combination
The student body of 165 students wants to elect three representatives. Is this a permutation, combination, or neither?
Combination
Neither
Permutation
A multiple choice test consists of 15 questions, each permitting a choice of 5 options. In how many ways may a student fill in the answers if they answer each question?
75
759,375
30,517,578,125
15
An ice cream parlor has 15 different flavors. Michelle orders a sundae and has to select 3 flavors. How many different selections are possible?
2730
45
14,348,907
455
The Nebraska license plate has 6 characters, each one filled with a number or a letter. How many license plates are possible?
36
2176782336
60
1402410240
Mr. Jones owns 4 pairs of pants, 7 shirts, and 3 sweaters. In how many ways may he choose 2 of the pairs of pants, 3 of the shirts, and 1 of the sweaters to pack for a trip?
84
6
7560
630
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