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?

Respuesta :

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