Activity 4: Select and Arrange!
Solve the following permutation and combination problems.
1. The Math Club consist of 15 members. Four of them will represent the school in math
competition. If the adviser of the Math club randomly selects these 4 students, How
many different selections of 4 students are possible?
2. In how many ways can a cook select 4 recipes from 6 equally tempting recipes?
3. In how many ways can a chairman, a vice chairman and a secretary be selected from
a group of 14 members of a parish religious committee?
4. A soloist is auditioning for a musical play. If she is required to sing any three of the 7
prepared songs, in how many ways can she make her choice?
5. Three security guards are assigned in different shifts. How many ways can these three
security guards be chosen from 8 available security guards?​