Reginald wants to buy a new collar for each of his 2 dogs. The collars come in a choice of 7 different colors.
Step 1 of 2: How many selections of collars for the 2 dogs are possible if repetitions of colors are allowed?
Answer
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Answer
The total number of combinations of collars for the 2 dogs if repetitions of colors are allowed is \(\boxed{49}\).
Step 1 ：Reginald wants to buy a new collar for each of his 2 dogs. The collars come in a choice of 7 different colors.
Step 2 ：We need to find out how many selections of collars for the 2 dogs are possible if repetitions of colors are allowed.
Step 3 ：This is a simple combination problem. Since repetitions are allowed, each dog can have any of the 7 colors. So for each dog, there are 7 choices.
Step 4 ：Since there are 2 dogs, the total number of combinations is \(7 \times 7 = 49\).
Step 5 ：The total number of combinations of collars for the 2 dogs if repetitions of colors are allowed is \(\boxed{49}\).
