A bag has three marbles: one red, one blue, and one yellow. The marbles are pulled from the bag one at a time without replacing them. In how many different orders could the marbles be pulled from the bag?

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26-03-2022
Mathematics

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A bag has three marbles: one red, one blue, and one yellow. The marbles are pulled from the bag one at a time without replacing them. In how many different orders could the marbles be pulled from the bag?

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abidemiokin abidemiokin · Answer 1 · 2022-04-08T11:10:53+02:00

The number of different orders that the marbles can be pulled from the bag is 6 ways

Combination and permutation of numbers

If a bag contains one red, one blue, and one yellow, then the total number of marbles contained is 3 marbles.

If the marbles are pulled from the bag one at a time without replacing them, the number of different orders that the marbles can be pulled from the bag is expressed as:
[tex]3C_1=\frac{3!}{(3-2)!} \\3C_1=\frac{3!}{1!}\\ 3C1=3! = 6ways[/tex]

Hence the number of different orders that the marbles can be pulled from the bag is 6 ways

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