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How many distinguishable ways can 5 identical red marbles and 4 identical white marbles be arranged in a line?

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.

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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 is distinguishable permutation formula?

Distinguishable Permutations = 6 different permutations. If you look at the permutations that are distinguishable, you only have three BOB, OBB, and BBO. To find the number of distinguishable permutations, take the total number of letters factorial divide by the frequency of each letter factorial.

How many marbles are in a box of marbles?

Ex 15.1, 9 A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be (i) red?

What is the value of P (marble taken out is not green)?

P (marble taken out is not green) = P (marble taken out is white) + P (marble taken out is red) = 8/17 + 5/17 = 13/17 Ex 15.1, 9 (Method 2) A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random.

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What is the probability of the first 15 marbles drawn being red?

The probability of the third marble drawn being red if the first two are is 18/58, etc. So the probability of all the first 15 marbles drawn being red is 20*19*18*…*6/ (60*59*…46). The probability of all 15 being green is obviously the same, as is the probability of all 15 being blue.

How many marbles are in an urn?

An urn contains four ​red, seven ​white, and five blue marbles. In how many ways can three marbles be selected so that… a. at least one is red​? B. all three marbles are the same​ color?