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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?

 

Option: 1

104976


Option: 2

135496


Option: 3

124966


Option: 4

114976


Answers (1)

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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 10 + 5 + 3 = 18 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:

18 \times 18 \times 18 \times 18=104976

So there are 104,976 ways to select 4 balls from the jar if repetition is allowed.


 

Posted by

himanshu.meshram

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