Answer:
E.432
Step-by-step explanation:
We are given that
Total number of books=8
Novels=[tex]\frac{3}{8}\times 8=3[/tex]
Study guides=25% of 8=[tex]\frac{25}{100}\times 8=2[/tex]
Textbooks=8-(3+2)=3
We have to find the possible number of arrangements of books .
Number of ways in which novels can be arranged=3![tex]=3\times 2\times 1=6[/tex]
Using formula:[tex]n!=n(n-1)(n-2)(n-3)....2\times 1[/tex]
Number of ways in which study guides can be arranged=2!=[tex]2\times 1=2[/tex]
Number of ways in which textbooks can be arranged=[tex]3!=3\times 2\times 1=6[/tex]
Number of category of books=3
Therefore, number of ways in which 3 types of books can be arranged=3!=6
Total possible number of arrangement of books=[tex]6\times 2\times 6\times 6=432[/tex]
Option E is true
