In how many ways can 4 different gifts be distributed among 3 children?
Practice Questions
Q1
In how many ways can 4 different gifts be distributed among 3 children?
81
64
27
12
Questions & Step-by-Step Solutions
In how many ways can 4 different gifts be distributed among 3 children?
Step 1: Identify the number of gifts. We have 4 different gifts.
Step 2: Identify the number of children. We have 3 children.
Step 3: Understand that each gift can be given to any of the 3 children.
Step 4: For the first gift, there are 3 choices (Child 1, Child 2, or Child 3).
Step 5: For the second gift, there are also 3 choices (Child 1, Child 2, or Child 3).
Step 6: Repeat this for the third gift, which also has 3 choices.
Step 7: Do the same for the fourth gift, which again has 3 choices.
Step 8: Since the choices for each gift are independent, multiply the number of choices together: 3 (for the first gift) * 3 (for the second gift) * 3 (for the third gift) * 3 (for the fourth gift).
Step 9: This can be written as 3^4 (3 raised to the power of 4).
Step 10: Calculate 3^4, which equals 81.
Step 11: Conclude that there are 81 different ways to distribute the 4 gifts among the 3 children.
