Answer: 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
[tex]^{20+n-1}C_{n-1}=^{19+n}C_{n-1}=^{19+n}C_{20}[/tex]
now,
[tex]^{19+n}C_{20}=230,230[/tex]
By hit and trial we get that
[tex]19+n=26\\\\n=26-19\\\\n=7[/tex]
Hence, the value of n = 7.
