SOLUTION: How many ways can 2 purple, 3 yellow, and 2 blue bulbs be arranged in a string of Christmas tree lights with 7 socks?
Algebra ->
Permutations
-> SOLUTION: How many ways can 2 purple, 3 yellow, and 2 blue bulbs be arranged in a string of Christmas tree lights with 7 socks?
Log On
Question 1195311: How many ways can 2 purple, 3 yellow, and 2 blue bulbs be arranged in a string of Christmas tree lights with 7 socks? Answer by ikleyn(52803) (Show Source):
You can put this solution on YOUR website! .
How many ways can 2 purple, 3 yellow, and 2 blue bulbs be arranged in a string
of Christmas tree lights with 7 socks?
~~~~~~~~~~~~~~~~~~~
This problem is about arranging a line of objects,
where distinguishable/undistinguishable objects/items are.
Use the formula for it
the number of distinguishable arrangements =
where 2+3+2 = 7 is the total number of objects, and 2, 3 and 2 are the "multiplicities"
of undistinguishable object.
The formula gives
the number of distinguishable arrangements = = = = = 210.
ANSWER. There are 210 distinguishable arrangements.
