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Question 1 of 10
1. Question
In how many ways can Max select 3 toppings from 10 available toppings for his pizza?
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Question 2 of 10
2. Question
In how many ways can coach Johnson select 5 young women for the basketball team if 15 players try out?
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Question 3 of 10
3. Question
How many different committees of 5 people can be chosen from 10 people?
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Question 4 of 10
4. Question
Jones is the Chairman of a committee. In how many ways can a committee of 5 be chosen from 10 people given that Jones must be one of them?
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Question 5 of 10
5. Question
You just bought 3 tickets to the Yankees and you have 5 friends you could invite. How many different combinations of friends could you choose to join you at the game?
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Question 6 of 10
6. Question
Any two lines in a plane form at most one intersection. If there are 10 distinct lines, then what is the maximum number of intersections possible?
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Question 7 of 10
7. Question
From previous lessons we learned a line can be formed from any two points. If there are 5 points in a plane then what is the maximum number of unique lines that can be drawn between the points?
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Question 8 of 10
8. Question
Six friends want to play enough games of chess to be sure every one plays everyone else. How many games will they have to play?
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Question 9 of 10
9. Question
16 teams enter a soccer competition. They are divided up into four Pools (A, B, C and D) of four teams each. Every team plays one match against the other teams in its Pool. After the Pool matches are completed:
• the winner of Pool A plays the second placed team of Pool B
• the winner of Pool B plays the second placed team of Pool A
• the winner of Pool C plays the second placed team of Pool D
• the winner of Pool D plays the second placed team of Pool C
The winners of these four matches then play semifinals, and the winners of the semifinals play in the final. How many matches are played altogether?
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Question 10 of 10
10. Question
A lottery ticket requires players to select 5 distinct numbers from 00 to 99 to appear on the ticket. How many unique tickets are possible?
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