Question

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?

Answer 1

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

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