Counting arrangements

1. 1.
   4! = ?
2. 2.
   A team of 3 is chosen from 8 students. How many different teams are possible?
3. 3.
   7! = ?
4. 4.
   Evaluate 7C3 (combinations of 3 from 7).
5. 5.
   6! = ?
6. 6.
   3! = ?
7. 7.
   Evaluate 8P3 (permutations of 3 from 8).
8. 8.
   Evaluate 8C2 (combinations of 2 from 8).
9. 9.
   A team of 2 is chosen from 4 students. How many different teams are possible?
10. 10.
    A team of 3 is chosen from 4 students. How many different teams are possible?
11. 11.
    Evaluate 8P4 (permutations of 4 from 8).
12. 12.
    How many ways can 3 different books be arranged on a shelf?
13. 13.
    Evaluate 5C2 (combinations of 2 from 5).
14. 14.
    Evaluate 6P4 (permutations of 4 from 6).
15. 15.
    Evaluate 7P2 (permutations of 2 from 7).
16. 16.
    Evaluate 6C3 (combinations of 3 from 6).
17. 17.
    Evaluate 4P2 (permutations of 2 from 4).
18. 18.
    How many ways can 5 different books be arranged on a shelf?
19. 19.
    A team of 4 is chosen from 5 students. How many different teams are possible?
20. 20.
    Evaluate 4P3 (permutations of 3 from 4).

Free maths worksheets and practice: rocketdigits.com/learn/counting-arrangements