Question

Ellie is dropping marbles into a box one at a time in following order:red,white,white,blue,blue,blue:red,white,white,blue,blue,blue....how many marbles will be in the box right after the 100th blue one is put in??

Answer 1

I hope this helps! Let me know if it needs more explaining.

Answer 2

The required number of marbles is 202.

Given that,
Ellie is dropping marbles into a box one at a time in the following order:
red, white, white, blue, blue, blue
red, white, white, blue, blue, blue...
how many marbles will be in the box right after the 100th blue one is put in is to be determined.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Number of marble in one segment of the marble i.e.
Red, white, white blue, blue, blue = 5
marbles in the box right after the 100th blue one
= ( 99 / 3 ) * 6
= 198
When there is 100th blue one
Red, White, White, Blue = 4
Total number of marbles = 198 + 4
                                      = 202

Thus, the required number of marbles is 202.

Learn more about permutations and combinations here: https://brainly.com/question/2295036
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