A fan of country music plans to make a custom CD with 1313 of her 2525 favorite

Question

A fan of country music plans to make a custom CD with

1313

of her

2525

favorite songs. How many different combinations of

1313

songs are possible? Is it practical to make a different CD for each possible combination?

How many different combinations of

1313

songs are possible?

nothing

Is it practical to make a different CD for each possible combination?

A.

Yes, it is practical to make a different CD for each possible combination because the number of possible combinations is very large.

B.

Yes, it is practical to make a different CD for each possible combination because the number of possible combinations is very small.

C.

No, it is not practical to make a different CD for each possible combination because the number of possible combinations is very small.

D.

No, it is not practical to make a different CD for each possible combination because the number of possible combinations is very large.

Explanation / Answer

Number of combinations possible = 25C13 = 25!/((13!)(25-13)!

= 5,200,300

D. No, it is not practical to make a different CD for each possible combination because the number of possible combinations is very large.

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