94.3k views
0 votes
A jeweler has 15 diamond pendants and will display 4 of them from left to right in a glass case. In how many ways can he select and display the 4 pendants?

a) 32760
b) 360360
c) 3520
d) 30030

1 Answer

2 votes

Answer:

A

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:


nPr=(n!)/((n-r)!)

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.


nPr=(n!)/((n-r)!)\\15P4=(15!)/((15-4)!)\\15P4=(15!)/(11!)\\15P4=(15*14*13*12*11!)/(11!)\\15P4=15*14*13*12=32,760

correct answer is A

User Fabien Henon
by
8.4k points

Related questions

asked Jul 12, 2017 93.1k views
General asked Jul 12, 2017
by General
8.1k points
2 answers
1 vote
93.1k views
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories