How many ways can 3 different gifts be given to 5 children if each child can receive more than one gift? (2022)

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Q: How many ways can 3 different gifts be given to 5 children if each child can receive more than one gift? (2022)

Solution: Each gift can go to any of the 5 children, so the total ways = 5^3 = 125.

Steps: 6

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 5 children.
Step 3: Understand that each gift can be given to any of the 5 children. This means for each gift, there are 5 choices.
Step 4: Calculate the total number of ways to distribute the gifts. Since there are 3 gifts and each gift has 5 choices, you multiply the choices together: 5 (for the first gift) * 5 (for the second gift) * 5 (for the third gift).
Step 5: This can be simplified using exponents. Since you have 3 gifts, you can write it as 5^3.
Step 6: Calculate 5^3, which equals 125. This is the total number of ways to give the gifts.