(a) What is the number of nonnegative integer solutions to the equation x+y+z+q+r=20 if z?3? (b) What is the number of nonnegative integer solutions to the equation x+y+z+q+r=20 where at least one variable is greater or equal to 2?
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We need to distribute 20 stars (representing the total sum) among 5 bins (representing the variables x, y, z, t, and q) with no bin having less than 0 stars. This can be represented as: ****|****|****|****|**** We need to place 4 bars to separate the stars into Show more…
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