| Estimation | Graph Theory | Counting | Probability | 
|---|---|---|---|
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					  What is 662 episodes?					 
					
					 The number of episodes of the Simpsons that there have been. 
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					  What is 45?					 
					
					 How many ways for everyone in a class of 10 to shake hands. 
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					  What is 120?					 
					
					 The number of ways to arrange the letters in the word SMILE.  
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					  What is 1/6?					 
					
					 The probability that Ms. Boppana rolls a 1 on a regular 6-sided die. 
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| 
						
					 
					  What is 338,350 squares?					 
					
					 The number of squares in a 100x100 grid of evenly spaced points. 
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					  Edges = (Sum of Vertex Degrees) / 2					 
					
					 A formula relating the edges and the vertex degrees in a graph. 
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					  What is n! / ((n-k)! k!) 					 
					
					 The formula for the number of ways to choose k people from n people. 
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| 
						
					 
					  What is 6105 home runs?					 
					
					 The number of home runs hit in the 2017 baseball season. 
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					 A graph with degree sequence {2,2,3,3}. 
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					  What is 60?					 
					
					 The number of ways to arrange the letters in the word PEPPER. 
					 | 
				
				
						
					 
					  What is 1/6?					 
					
					 The probability that Ms. Boppana rolls a total of 7 on two regular 6-sided dice. 
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| 
						
					 
					  What is 551,150 lbs?					 
					
					 The weight of $1 million in pennies. 
					 | 
				
				
						
					 
					 Can you draw a graph where 7 people each shake hands with 3 others? 
					If possible, draw the graph. If not possible, explain why.  | 
				
				
						
					 
					  What is 220?					 
					
					 The number of ways to choose 3 students from a class of 12 to receive Beyonce tickets. 
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| 
						
					 
					  What is 13,930 Starbucks?					 
					
					 The number of Starbucks in the US. 
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					  What is the domination number?					 
					
					 The _______ number (domination or chromatic) would be more appropriate when placing security stations near high schools. 
					 | 
				
				
						
					 
					  What is 32?					 
					
					 The number of ways to create a number of length 5 out of only 1's and 2's. 
					Examples: 11222, 21221, 12121  | 
				
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