Answer:
A
Step-by-step explanation:
Essentially, the definition of permutation is that the number of ways of selecting r things from a total of n things. THe formula is:
[tex]nPr=\frac{n!}{(n-r)!}[/tex]
Where n! means n * (n-1) * (n-2) * ....
Here the total number of things is 15 diamond pendants (n = 15) and we need to select 4 diamond pendants (r = 4). plugging these into the permutation formula gives us the answer.
[tex]nPr=\frac{n!}{(n-r)!}\\15P4=\frac{15!}{(15-4)!}\\15P4=\frac{15!}{11!}\\15P4=\frac{15*14*13*12*11!}{11!}\\15P4=15*14*13*12=32,760[/tex]
correct answer is A
