A jar contains 10 red balls, 5 green balls, and 3 blue balls. In how many ways can we select 4 balls from the jar if repetition is allowed?
There are 10 red balls, 5 green balls, and 3 blue balls in a jar.
Since repetition is allowed, we can choose each ball independently.
Therefore, the number of ways to select 4 balls from the jar is equal to the product of the number of choices for each ball.
For the first ball, we have choices (10 red, 5 green, and 3 blue).
Similarly, for each of the next three balls, we also have 18 choices.
Therefore, the total number of ways to select 4 balls with repetition allowed is:
So there are 104,976 ways to select 4 balls from the jar if repetition is allowed.
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