How many distinguishable ways can 5 identical red marbles and 4 identical white marbles be arranged in a line?
Table of Contents
- 1 How many distinguishable ways can 5 identical red marbles and 4 identical white marbles be arranged in a line?
- 2 How many different ways are there to place four different colored marbles in a row assume the marbles are green red blue and yellow?
- 3 What is the formula of distinguishable?
- 4 What does distinguishable mean in probability?
- 5 How many ways can 7 books be arranged on a shelf?
- 6 How many ways can the letters of the word sleeplessness be arranged?
How many distinguishable ways can 5 identical red marbles and 4 identical white marbles be arranged in a line?
If all of the balls were the same color there would only be one distinguishable permutation in lining them up in a row because the balls themselves would look the same no matter how they were arranged.
How many different ways are there to place four different colored marbles in a row assume the marbles are green red blue and yellow?
24 different arrangements
Assume the tiles are red, blue, green and yellow. Solution One method of solution is to place the four colored tiles in all possible different orders. There are 24 different arrangements as shown here.
How many ways can you arrange 3 red marbles?
For the third marble, we have 8 possibilities, and so on. We then have 7, 6, 5, 4, 3, 2, 1 possibilities for remaining marbles. In total, we therefore have 10×9×8×⋯×2×1=10!
How many ways can you order marbles?
Suppose first that the marbles are all different. If we draw the one marble, replace it, and draw another, there are 8 possible outcomes for the first draw and 8 for the second draw, so there are 8⋅8=64 possible sequences of marbles.
What is the formula of distinguishable?
To find the number of distinguishable permutations, take the total number of letters factorial divide by the frequency of each letter factorial. Basically, the little n’s are the frequencies of each different (distinguishable) letter. Big N is the total number of letters.
What does distinguishable mean in probability?
Distinguishability. When distributing things to other things, one has to consider the distinguishability of the objects (i.e. if they’re distinguishable or not). If the. things are distinguishable, one also has to consider if duplicates are allowed (i.e. if we can repeat).
How many combinations of 5 colors are there?
You can choose each color as many times as you like. You have five colors to choose from for the first room, five for the second and five for the third. This gives a total of 5×5×5 = 125 possibilities. In general, the number of ways to pick a group of r items in a particular order from n repeatable choices is n^r.
How many combinations of 4 colors are there?
The first choice can be any of the four colors. For each of these 4 first choices there are 3 second choices. Therefore there are 4 x 3 = 12 possibilities….
| Number | First | Second |
|---|---|---|
| 4 | yellow | red |
| 5 | yellow | green |
| 6 | yellow | brown |
| 7 | green | red |
How many ways can 7 books be arranged on a shelf?
F. A. All the seven books are distinct or they are different. So it’s just seven victoria ways of arranging them, which means this will be 5040.
How many ways can the letters of the word sleeplessness be arranged?
SLEEPLESS can be rearranged in 9!/ (2! 3! 3!) = 5040.
How many different arrangements can we make using the letters in the word bumblebee?
Moreover, there are three B’s in the word, and for any given overall arrangement of BUMBLEBEE, like BEELBMUBE, there are 3! = 6 ways of rearranging those.
How many times can you rearrange the word Mississippi?
There are 34,650 permutations of the word MISSISSIPPI.