A Zoom class has 48 students, and for an in-class activity they will be going into breakout rooms in eight groups of six. (a) Count the number of different breakout room assignments if the breakout room numbers matter. (So two assignments with exactly the same student groups are different outcomes if the corresponding room numbers are not the same.) (b) Count the number of different breakout room assignments if the breakout room numbers do not matter. (So we only care about which students are grouped together and not which room each group is in.)

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Q: Bob and Doug play a lot of Ping-Pong, but Doug is a much better player, and wins 60% of their games.…

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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.