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course mth 152
9/15 11
Question: `q001. Note that there are 9 questions in this assignment.
In how many ways can we get a total of 9 when rolling two fair dice?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
4 ways as ordered pairs: (3,6), (4, 5), (5, 4), (6, 3)
3
Ok
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Question:
`q002. In how many ways can we choose a committee of three people from a set of five people?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
0 possible 3-member committees within a group of 5 individuals
3
Ok
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Question:
`q003. In how many ways can we choose a president, a secretary and a treasurer from a group of 10 people?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
P(10, 3) = 10! / (10-3)! = 10! / 7! = 10 * 9 * 8 = 720
3
Ok
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Question:
`q004. In how many ways can we arrange six people in a line?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
6 ! = 720 possible orders
3
Ok
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Question:
`q005. In how many ways can we rearrange the letters in the word 'formed'?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
6 ! = 720 different ways
3
ok
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Question:
`q006. In how many ways can we rearrange the letters in the word 'activities'?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
10 ! / ( 3 ! * 2 !)
3
Ok
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Question:
`q007. In how many ways can we line up four people, chosen from a group of 10, for a photograph?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
P ( 10, 4) = 10! / ( 10-4)! = 10 ! / 6 ! = 10 * 9 * 8 * 7
3
Ko
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Question:
`q008. In how many ways can we get a total greater than 3 when rolling two fair dice?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
36 - 3 = 33 ways to get more than 3
3
Ok
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Question:
e `q009. A committee consists of 5 men and 7 women. In how many ways can a subcommittee of 4 be chosen if the number of men and women must be equal?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
C(5, 2) * C(7, 2) = 10 * 21 = 210
3
Ok
"
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