a basket contains a supply of marbles of 4 different colors. marbles with the same color are assumed to be identical. in how many ways can you choose 6 marbles from the basket

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01-06-2022
Mathematics

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a basket contains a supply of marbles of 4 different colors. marbles with the same color are assumed to be identical. in how many ways can you choose 6 marbles from the basket

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facundo3141592 facundo3141592 · Answer 1 · 2022-06-06T14:23:56+02:00

For the basket with 4 different types of marbles, there are 4,096 combinations in which we can select 6 marbles (in order).

in how many ways can you choose 6 marbles from the basket?

Here we need to identify the number of selections. We have 6 selections (assuming that order matters).

Marble 1:
Marble 2:
Marble 3:
Marble 4:
Marble 5:
Marble 6:

Now we need to find the number of options for each of these. We know that there are 4 different colors of marbles, then for each selection, we have 4 options:

Marble 1: 4 options
Marble 2: 4 options
Marble 3: 4 options
Marble 4: 4 options
Marble 5: 4 options
Marble 6: 4 options

The total number of combinations is given by the product between the numbers of options, so we have:

C = 4*4*4*4*4*4 = 4,096 combinations.

If you want to learn more about combinations.

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