Fran's collection of nine albums includes one jazz album. Fran will choose three of her albums to play on a road trip. (Assume order is not important.)
a) How many different sets of three albums could she choose?
b) How many of these sets would not include the jazz album?
c) How many of them would include the jazz album?

Respuesta :

The combination shows that the different sets of three albums that she can choose will be 45.

How to express the values?

The different sets of three albums that she can choose will be:

= 9C1 + 9C2

= 9 + 36

= 45

The number of sets that would not include the jazz album will be:

= 9C2

= 36

The sets that would include the jazz album will be:

= 9C1

= 9

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