If a car company makes a car with the option of 4 exterior colors, 3 interior colors, and 2 engines, how can the multiplication principle help us to determine the total number of different variations of the car?
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Probability was never a strength of mine in math, so I can be wrong... but if I remember correctly, by multiplying all three numbers together and getting 24 possible variations, you're taking a shortcut of just matching, for example... one color with three diff interiors and 2 diff engines, one at a time...
Whether you do it long-hand like that or just multiply the numbers altogether, you still get the same number of variations. It's just a quicker method to solve this.
Whether you do it long-hand like that or just multiply the numbers altogether, you still get the same number of variations. It's just a quicker method to solve this.
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There are 24 different variations, I believe.
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If there are m ways of choosing one thing, and n ways of choosing another, then there are nm ways of choosing both things.
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4*3*2=24