You and your mom enter a drawing with 3 different prizes. The prizes are awarded at random.If a total of 9 people entered the drawing, in how many ways can you win first prize and your mom win second prize?A.2B.1C.9D.7
Question
You and your mom enter a drawing with 3 different prizes. The prizes are awarded at random.If a total of 9 people entered the drawing, in how many ways can you win first prize and your mom win second prize?A.2B.1C.9D.7
Solution
The problem can be solved by using the concept of permutations.
Step 1: Determine the total number of people who entered the drawing. In this case, it's 9 people (you, your mom, and 7 other people).
Step 2: Calculate the number of ways you can win the first prize. Since there's only one of you, there's only one way you can win the first prize.
Step 3: After you've won the first prize, calculate the number of ways your mom can win the second prize. Since there's only one of her and she's one of the remaining 8 people, there's only one way she can win the second prize.
Step 4: Multiply the number of ways you can win the first prize by the number of ways your mom can win the second prize.
So, 1 (way you can win) * 1 (way your mom can win) = 1
Therefore, the answer is B. 1.
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