Activity 6:
Mission Possible
Answer each permutation problem completely.
1. A teacher wants to assign 4 different tasks to her 4 students. In how many possible ways can she do it?
2. In a certain general assembly, three major prizes are at stake. In how many ways can the first, second, and third prizes be drawn from a box containing 120 names?
\[
P(120,3)
\]
3. In how many different ways can 5 bicycles be parked if there are 7 available parking spaces?
\[
P=\frac{7}{7} \cdot \quad \text { B1 B7 BI B - }
\]
4. How many distinguishable permutation's are possible with all the letters of the word ELLIPSES?
5. There are 8 basketball teams competing for the top 4 standings in order to move up to the semi-finals. Find the number of possible rankings of the four top teams.
\[
p(8,4)
\]
6. In how many different ways can 12 people occupy the 12 seats in a front row of a mini-theater?
\[
121
\]
7. Find the number of different ways that a family of 6 can be seated around a circular table with 6 chairs.
\[
\text { irs. }(10,4)=
\]
8. How many 4-digit numbers can be formed from the digits \( 1,3,5,6,8 \), and 9 if no repetition is allowed?
9. If there are 10 people and only 6 chairs are available, in how many ways can they be seated?
\[
(10,6)
\]
10. Find the number of distinguishable permutations of the digits of the number 348838.