Answer:
In 1365 ways the jeweler select and display the 4 pendants
Step-by-step explanation:
Total number of diamond pendants with jeweler = 15
Number of diamond pendants which are to be displayed = 4
Now, we need to find the different number of ways to display the 4 diamond pendants.
[tex]\text{So, Required number of different ways = }_4^{15}\txterm{C}[/tex]
[tex]\text{So, Required number of different ways = }\frac{15!}{11! \times 4!}[/tex]
[tex]\text{So, Required number of different ways = }\frac{15\times 14\times 13\times 12}{4\times 3\times 2}[/tex]
[tex]\text{So, Required number of different ways = }1365[/tex]
Therefore, In 1365 ways the jeweler select and display the 4 pendants