Four cards labeled A, B, C, and D are randomly placed in four boxes labeled A, B, C, and D. A card is first placed in Box A, then a card is placed in Box B, then a card is placed in Box C, and lastly a card is placed in Box D. Each box receives exactly one card. A. How many card options are there for each box?   B. In how many ways can the cards be placed in the boxes?

Given A = {1, 5, 6, 8} and B = {2, 5, 6, 8, 9}, find B – A. O {1, 2, 5, 6, 8} ○ {5,6,8} ○ {2, 9} {1}

A class has 32 students. In how many different ways can four students form a group for an activity? (Assume the order of the students is not important.) C.. There are different ways that the four students can form a group for an activity. (Type a whole number.)

.When purchasing a ticket for the PowerBall lottery game a player chooses 5 distinct numbers between 1 and 69 (inclusive). The order in which the numbers are chosen does not matter. In addition, the player chooses one number between 1 and 26 (inclusive) to match the "powerball." How many different powerball tickets are possible?

15) Use the situation below to answer the question that follows. Team Jet has 7 members who won a school competition. Of these 7, 4 members are randomly picked to receive prizes for winning. The 1st member selected wins a $50 gift card; the 2nd person selected wins a $25 gift card; the 3rd person selected wins a $10 gift card; the 4th person selected wins a $5 gift card. The names of Team Jet's members are represented by the first letter of their first names, as displayed in the following table: Name Frank Gina Harriet Inez Jakob Keven Liu Letter F G H I J K L In the box below, complete the remaining three rows of the list that models how to calculate the number of possible ways 4 team members can be selected to win the prizes. 1) FGHIJKL Let Lui win the 1st prize, so select L. 2) 3) 4)