Robin has five different cans of paints, three different patterns of wallpapers, and four different colors of curtains. She is planning to renovate her kitchen. In how many ways can she combine these items if a. The purple paint clashes with the yellow curtains? b. The blue paint clashes with the floral wallpaper?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Given
Number of cans of paints = 5
Number of patterns of wallpapers = 3
Number of colors of curtains = 4
The total number of ways of renovating kitchen = 5*4*3 = 60
a)
Given purple paint clashes with yellow curtains.
The number of possible combinations with purple paint and yellow curtains are equal to total number of wallpapers = 3
So there will be 3 combinations of purple paint and yellow curtains.
The total number of combinations with out the purple paint and yellow curtain be together = 60 - 3 = 57
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