How many ways can 4 different colored balls be placed in 3 different boxes?
Practice Questions
1 question
Q1
How many ways can 4 different colored balls be placed in 3 different boxes?
81
64
27
12
Each ball can go into any of the 3 boxes, so the total ways = 3^4 = 81.
Questions & Step-by-step Solutions
1 item
Q
Q: How many ways can 4 different colored balls be placed in 3 different boxes?
Solution: Each ball can go into any of the 3 boxes, so the total ways = 3^4 = 81.
Steps: 7
Step 1: Identify the number of balls. We have 4 different colored balls.
Step 2: Identify the number of boxes. We have 3 different boxes.
Step 3: Understand that each ball can go into any of the 3 boxes. This means for each ball, there are 3 choices.
Step 4: Since there are 4 balls and each has 3 choices, we multiply the choices together. This is done by raising the number of choices (3) to the power of the number of balls (4).
Step 5: Calculate 3 raised to the power of 4, which is 3^4.
