there are 4 mathematics and 3 science books on the bookshelf.how many ways are there to arrange the books where each subject must be grouped together?
a. 288
b. 144
c. 60
d. 30
a. 288
b. 144
c. 60
d. 30
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Answer:
A. 288
Step-by-step explanation:
4! gives us how many ways there are of rearranging the maths book and 3! is the number of ways of rearranging the physics books. Treat each set as one thing so they are kept together. There are 2! ways of rearranging two things.
Altogether this gives 4!×3!×2! = 24×6×2=288
Therefore 288 is the answer to your question.