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Questions and Answers
Which of the following is an example of a combination?
Which of the following is an example of a combination?
- Arranging a president and vice president in a line from a group of 10 candidates
- Choosing 3 books from a shelf of 10 books (correct)
- Arranging 3 books in a row from a shelf of 10 books
- Choosing a president and vice president from a group of 10 candidates
Which of the following formulas is used to calculate the number of combinations?
Which of the following formulas is used to calculate the number of combinations?
- nCr = n! / r!
- nCr = n! / (r! * (n - r)!) (correct)
- nPr = n! / r!
- nPr = n! / (n - r)!
Which of the following is an example of a permutation?
Which of the following is an example of a permutation?
- Choosing a president and vice president from a group of 10 candidates
- Choosing 3 books from a shelf of 10 books
- Arranging a president and vice president in a line from a group of 10 candidates
- Arranging 3 books in a row from a shelf of 10 books (correct)
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Study Notes
Combinations and Permutations
- A combination is a selection of objects, regardless of the order in which they are chosen.
- The formula to calculate the number of combinations is: C(n, k) = n! / (k!(n-k)!)
- A permutation is an arrangement of objects in a specific order, with the order of the objects mattering.
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