Quiz MA 110-91: Problem Solving and Combinatorics, Exercises of Mathematics

The solution key for quiz #4 in ma 110-91, a college-level mathematics course focusing on problem solving and combinatorics. The quiz includes questions on calculating the number of possible outfits for an individual, finding different ways to form a committee, and determining the number of ways to arrange people in a line. Students are expected to understand concepts related to combinations and permutations.

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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MA 110-91
§2.3 2.4 Quiz #4 score
Name:
23 September 2000
1. If Jim has 3 pairs of pants, 5 shirts, 3 pairs of socks, and 2 pairs of shoes (all distinguish-
able), how many possible pant-shirt-shoes-sock outfits does Jim have available? (6 points)
2. From a group of 10 people, how many different ways are there to choose a 3-person
committee? How many different ways are there to choose a President, Vice President, and
Treasurer? (7 points)
3. How many ways can 7 people be lined up in a row? How many ways can this be done if
two particular people must be adjacent? (7 points)

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MA 110-

Quiz

score

Name:

23 September 2000

  1. If Jim has 3 pairs of pants, 5 shirts, 3 pairs of socks, and 2 pairs of shoes (all distinguish- able), how manypossible pant-shirt-shoes-sock outfits does Jim have available? (6 points)
  2. From a group of 10 people, how manydifferent ways are there to choose a 3-person committee? How manydifferent ways are there to choose a President, Vice President, and Treasurer? (7 points)
  3. How manyways can 7 people be lined up in a row? How manyways can this be done if two particular people must be adjacent? (7 points)