Permutations Test Prep

1. A teacher is trying to figure out how to assign students to leadership positions. There's a position for president, vice-president, and treasurer.  There are 28 kids in the class.  If the teacher fills the positions randomly, how many different president, vice-president, treasurer combinations are possible?

(A) 84

(B) 3276

(C) 19656

(D) 58968

2. Josie is making bracelets as gifts.  She wants every bracelet to be unique.  She has 5 types of beads and will put one bead of each type on each bracelet.  How many unique bracelets can she make? 

(A) 1

(B) 5

(C) 25

(D) 120

3. Paula has four children, one girl and three boys. She is trying to figure out seating arrangement.  If she knows that she wants to sit at the head of the table, and she wants her daughter seated directly to her right, and there are 3 other seats at the table, how many different seating arrangements are there? 

(A) 3

(B) 6

(C) 24

(D) 25

4. Jamey is hanging art in her house.  She has four small pictures and two spots that will fit them and 5 large pictures and 2 spots that will fit them.  The spots are scattered all over the house. How many different art arrangements are available to Jamey?