What is the equation we are trying to solve for integer solutions?

Stars and Bars Method in Combinatorics

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Jackson Turner
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
w + x + y + z = 25
w + x + y + z = 20
w + x + y + z = 30
w + x + y + z = 15
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the general case, how many bars are needed if there are four variables?
Two bars
Three bars
One bar
Four bars
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the total number of stars used in the general case of the stars and bars method?
20 stars
30 stars
25 stars
15 stars
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many stars are assigned to variable x to meet its restriction?
Three stars
Four stars
Two stars
One star
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the new equation formed after adjusting the variables to be greater than or equal to zero?
w + x + y + z = 20
w + x + y + z = 5
w + x + y + z = 10
w + x + y + z = 15
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the number of integer solutions to the transformed equation using the stars and bars method?
15 choose 3
18 choose 3
20 choose 3
25 choose 3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the factorial expression used to calculate 18 choose 3?
18 factorial divided by 15 factorial times 3 factorial
18 factorial divided by 17 factorial times 1 factorial
18 factorial divided by 16 factorial times 2 factorial
18 factorial divided by 14 factorial times 4 factorial
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