Satish is making school spirit keychains, which consist of a sequence of n beads on a string. He has blue beads and gold beads. How many unique keychains can he make with exactly k ≤ n blue beads?

Respuesta :

Answer:

[tex]\frac{n!}{k!(n-k)!}[/tex]

Step-by-step explanation:

Satish is making school spirit key chains, which consist of a sequence of n beads, that are blue and golden.

Also given, there are k ≤ n blue beads.

So, the number of unique key chains that can be made is :

[tex]\frac{n!}{k!(n-k)!}[/tex] ; [tex]k\leq n[/tex]