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