In how many ways can 3 different gifts be distributed among 4 children?
Practice Questions
Q1
In how many ways can 3 different gifts be distributed among 4 children?
64
81
27
12
Questions & Step-by-Step Solutions
In how many ways can 3 different gifts be distributed among 4 children?
Step 1: Identify the number of gifts. In this case, there are 3 different gifts.
Step 2: Identify the number of children. Here, there are 4 children.
Step 3: Understand that each gift can be given to any of the 4 children. This means for each gift, there are 4 choices.
Step 4: Calculate the total number of ways to distribute the gifts. Since there are 3 gifts and each gift has 4 choices, you multiply the choices together: 4 (for the first gift) * 4 (for the second gift) * 4 (for the third gift).
Step 5: This can be simplified using exponents. Since you have 3 gifts, you can write it as 4^3.
Step 6: Calculate 4^3, which equals 64. This means there are 64 different ways to distribute the 3 gifts among the 4 children.
