Columba has two dozen each of n different colored beads. if
she can select 20 beads (with repetions of colors allowed)
in230,230 ways, what is the value of n?

The value of n = 7.

Step-by-step explanation:

Since we have given that

Number of beads is to selected = 20

Number of dozen each of n different colored beads = 2

Number of different colored beads = n

With repetitions of colors allowed.

Number of ways = 230,230

So, it becomes

now,

By hit and trial we get that

Hence, the value of n = 7.