Discrete Math Section 15.2 Apply the multiplication, addition, and complement principles My wardrobe consists of two pairs of pants and four shirts. How.

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Discrete Math Section 15.2 Apply the multiplication, addition, and complement principles My wardrobe consists of two pairs of pants and four shirts. How many pants-shirt combinations can I wear? Multiplication Principle: If an action can be performed n ways and for each of these ways another action can be performed m ways, then the two actions can be performed together n x m ways.

examples How many ways can eight people be arranged in a line? n! (factorial)= n(n-1)(n-2)(n-3)…3∙2∙1 0! = 1 Simplify 20! 172! 170!

The Kansas license plate consists of 3 letters followed by 3 digits. How different plates are possible? How many different ways can a ten question true-false test be answered? Mutually exclusive events can not occur at the same time. (heads and tails on a coin are mutually exclusive) Addition Principle: If two actions are mutually exclusive and the first can be performed n ways and the second can be performed m ways, then one action or the other can be performed n + m ways.

In how many different ways can you order a single, or a double or a triple scoop ice cream cone choosing from five different flavors? (No repeated flavors) Complement Principle: If A is a subset of the universal set U, then n(A) = n(U) – n(Ā) Find the number of four digit numbers containing at least one digit of five.

Assignment: Page 575 Problems 2-8 even,11-14, 16,18,20,26,27,28