1. In how many ways, a license plate can be formed with first two letters followed by 4 digits. ( permutations with repetitions )

2. There are 8 students, in how many ways, a president, a vice-president and treasurer can be selected ( permutation without repetitions )

3. There are 8 students, in how many ways, a committee of 3 students can be formed ( combination with no replacements )

4. Using AABCC, how many different five letter words can be formed (ordered partitions )

Combination from repetition ((use transitions concept).) 5. A ice-cream company sells 4 flavors: f1, f2, f3, f4. In how many ways, 8 scoops can be formed.

Combinations Problems: 6. C ( 4, 0 ) = ?

C ( 4, 1 ) = ?

C ( 4, 2 ) = ?

C ( 4, 3) = ?

C ( 4, 4) =

7. Prove

¹¹C₃ = ¹⁰C₂ + ¹⁰C₃

8. What is

P ( 8, 4 )

P ( 4, 3 )

P ( 6, 2 )

P ( 5, 4 )