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A student is selecting 5 different geography books, 4 different chemistry books, and one of 7 different science books. In how many different ways can a student select them?

User Domon
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1 Answer

1 vote

There would be 5184 ways in which each subject books can be selected.

Step-by-step explanation:

Number of geography books = 5

Number of chemistry books = 4

Number of Science books = 7

Different ways of selecting geography books = 5!

= 5 X 4 X 3 X 2 X 1

= 120

Different ways of selecting chemistry books = 4!

= 4 X 3 X 2 X 1

= 24

Different ways of selecting Science books = 7!

= 7 X 6 X 5 X 4 X 3 X 2 X 1

= 5040

Total different possible ways they can select them = 120 + 24 + 5040

= 5184

User Wujo
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3.3k points