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How many ways are there to paint the 10 identical rooms in a hotel with 5...
Consider the following problem: How many ways are there to paint 10 identical houses on a street with five colors if at most three houses can be painted blue, at most three can be painted green, at m...
Consider the following problem: How many ways are there to paint 10 identical houses on a street with five colors if at most three houses can be painted blue, at most three can be painted green, at most three can be painted beige, and no constraint is placed on the other two colors, brown and gray? A student claims that the generating function for this problem is g(x) = (1 + x +x2 + r3)3(1 + x + r2 +...
please illustrate each stepbof the solution so I can understand thank you 4) Given the diagram 2 7 3 6 4 (a) Up to symmetries, in how many ways can we paint the numbered vertices, if tw...
please illustrate each stepbof the solution so I can
understand
thank you
4) Given the diagram 2 7 3 6 4 (a) Up to symmetries, in how many ways can we paint the numbered vertices, if two colors (red and blue) are available? (b) How many ways, if additionally we want that at most two numbered vertices are painted red?
4) Given the diagram 2 7 3 6 4 (a) Up to symmetries, in how many ways can we paint...
Liza has a supply of blue paint and grey paint. She plans to paint each of...
Liza has a supply of blue paint and grey paint. She plans to paint each of the 6 rooms in her house with one of the two colours. She has enough grey paint to paint the entire house, but only enough blue paint for 4 rooms. In how many different ways can she paint the rooms of her house? For example, she may paint all the rooms grey, or she may paint half grey and half blue, etc. But she...
There are red, blue, white and green marbles. How many different ways are there to fill...
There are red, blue, white and green marbles. How many different ways are there to fill a bag with 10 marbles if there is the constraint that there are either white or green marbles in the bag but never both. So there can be white marbles in it or there can be green marbles in it or neither or them but never both.
1. Find a1s for each of the following generating functions: contains 8 red, 8 white, 8 blue, and 5 green balls, which are identical cept for color. How many ways are there to select 20 balls? 2....
1. Find a1s for each of the following generating functions: contains 8 red, 8 white, 8 blue, and 5 green balls, which are identical cept for color. How many ways are there to select 20 balls? 2. A b ox 3. Find a1e for each of the following generating functions:
1. Find a1s for each of the following generating functions: contains 8 red, 8 white, 8 blue, and 5 green balls, which are identical cept for color. How many ways...
discrete mathematics a. 25 identical glass orbs are to be partitioned into 5 groups. How many ways are there to do t...
discrete mathematics
a. 25 identical glass orbs are to be partitioned into 5 groups. How many ways are there to do this? b. The orbs are to be partitioned such that each group gets at least one orb. How many ways are there to this? 6 of the orbs are given to the 1 group. How many ways are there to partition the remaining orbs such that the first group has at least the 6 from the beginning of this...
12) How many ways are there to distribute 150 identical balls to 12 distinct boxes, 6...
12) How many ways are there to distribute 150 identical balls to 12 distinct boxes, 6 red boxes labelled 1 to 6 and 6 blue boxes labelled 1 to 6, such that the blue be with label i and the red box with labeli receive the same number of balls, for every ie (1,2,3,4,5, 6}? [10 marks
12) How many ways are there to distribute 150 identical balls to 12 distinct boxes, 6 red boxes labelled 1 to 6 and...
Question 1 1 pts How many secondary colors are there for visible light? What are their...
Question 1 1 pts How many secondary colors are there for visible light? What are their names? Two -- Black and White Four -- Red, Green, Blue, and White Three -- Magenta, Cyan, and Yellow One -- Black > Question 2 1 pts How many primary colors are there for visible light? What are their names? Three -- Red, Green, and Blue OTWO -- White and Black One -- White Four -- Cyan, Magenta, Yellow, and Black
discrete mathematics a. 25 identical glass orbs are to be partitioned into 5 groups. How many...
discrete mathematics
a. 25 identical glass orbs are to be partitioned into 5 groups. How many ways are there to do this? b. The orbs are to be partitioned such that each group gets at least one orb. How many ways are there to this? 6 of the orbs are given to the 1 group. How many ways are there to partition the remaining orbs such that the first group has at least the 6 from the beginning of this...
Consider the following problem: How many ways are there to paint 10 identical houses on a street with five colors if at most three houses can be painted blue, at most three can be painted green, at most three can be painted beige, and no constraint is placed on the other two colors, brown and gray? A student claims that the generating function for this problem is g(x) = (1 + x +x2 + r3)3(1 + x + r2 +...
please illustrate each stepbof the solution so I can
understand
thank you
4) Given the diagram 2 7 3 6 4 (a) Up to symmetries, in how many ways can we paint the numbered vertices, if two colors (red and blue) are available? (b) How many ways, if additionally we want that at most two numbered vertices are painted red?
4) Given the diagram 2 7 3 6 4 (a) Up to symmetries, in how many ways can we paint...
1. Find a1s for each of the following generating functions: contains 8 red, 8 white, 8 blue, and 5 green balls, which are identical cept for color. How many ways are there to select 20 balls? 2. A b ox 3. Find a1e for each of the following generating functions:
1. Find a1s for each of the following generating functions: contains 8 red, 8 white, 8 blue, and 5 green balls, which are identical cept for color. How many ways...
discrete mathematics
a. 25 identical glass orbs are to be partitioned into 5 groups. How many ways are there to do this? b. The orbs are to be partitioned such that each group gets at least one orb. How many ways are there to this? 6 of the orbs are given to the 1 group. How many ways are there to partition the remaining orbs such that the first group has at least the 6 from the beginning of this...
12) How many ways are there to distribute 150 identical balls to 12 distinct boxes, 6 red boxes labelled 1 to 6 and 6 blue boxes labelled 1 to 6, such that the blue be with label i and the red box with labeli receive the same number of balls, for every ie (1,2,3,4,5, 6}? [10 marks
12) How many ways are there to distribute 150 identical balls to 12 distinct boxes, 6 red boxes labelled 1 to 6 and...
Question 1 1 pts How many secondary colors are there for visible light? What are their names? Two -- Black and White Four -- Red, Green, Blue, and White Three -- Magenta, Cyan, and Yellow One -- Black > Question 2 1 pts How many primary colors are there for visible light? What are their names? Three -- Red, Green, and Blue OTWO -- White and Black One -- White Four -- Cyan, Magenta, Yellow, and Black
discrete mathematics
a. 25 identical glass orbs are to be partitioned into 5 groups. How many ways are there to do this? b. The orbs are to be partitioned such that each group gets at least one orb. How many ways are there to this? 6 of the orbs are given to the 1 group. How many ways are there to partition the remaining orbs such that the first group has at least the 6 from the beginning of this...
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