Directions : Solve the following problems completely.
1. From a class with 40 students, 8 students will be chosen to join the science field trip. In how many ways can the students be chosen?
2. In a gathering, the host makes sure that each guest shakes hands with everyone else If there are 30 guests, how many handshakes will be done?
3. A soloist is auditioning for a musical play. If she is required to sing any three of the 8 prepared songs , in how many ways can she make her choice?
4.there are 10 identified points on a number line.How many possible lines can be drawn using the given points?
5.in a dance contest,each participating group must perform 3 kinds of dance.if there are 5 choices for ballroom dance,7 choices for foreign dance.and 6 choices for hip-hop dance,in how many possible ways can dance group select their place?
1. From a class with 40 students, 8 students will be chosen to join the science field trip. In how many ways can the students be chosen?
2. In a gathering, the host makes sure that each guest shakes hands with everyone else If there are 30 guests, how many handshakes will be done?
3. A soloist is auditioning for a musical play. If she is required to sing any three of the 8 prepared songs , in how many ways can she make her choice?
4.there are 10 identified points on a number line.How many possible lines can be drawn using the given points?
5.in a dance contest,each participating group must perform 3 kinds of dance.if there are 5 choices for ballroom dance,7 choices for foreign dance.and 6 choices for hip-hop dance,in how many possible ways can dance group select their place?
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Answer:
1.there are 76904685 ways to choose 8
students.
2.300 handshakes
3.35 ways
4.45 ways
5. 14,702,688 ways