Podcast
Questions and Answers
Which of the following is the formula for calculating permutations?
Which of the following is the formula for calculating permutations?
- (n-r)!
- n! / (n-r)! (correct)
- n! / r!
- n!
What is the difference between permutations and combinations?
What is the difference between permutations and combinations?
- Permutations involve repetition, while combinations do not.
- Permutations involve the order of items, while combinations do not. (correct)
- Permutations and combinations are the same thing.
- Permutations involve selecting items, while combinations involve arranging items.
What is the formula for calculating combinations?
What is the formula for calculating combinations?
- n! / r! (correct)
- n! / (n-r)!
- (n-r)!
- n!
Flashcards
Permutations Formula
Permutations Formula
n! / (n-r)! where n is the total number of items and r is the number of items being arranged.
Permutations vs. Combinations
Permutations vs. Combinations
Permutations consider the order of items, while combinations do not. Choosing a team (combination) vs. assigning roles (permutation).
Combinations Formula
Combinations Formula
n! / (r!(n-r)!) where n is the total number of items, and r is the number of items being chosen.
Study Notes
Permutations and Combinations
Permutations Formula
- The formula for calculating permutations is: nPr = n! / (n-r)!
- Where 'n' is the total number of items and 'r' is the number of items chosen.
Permutations vs Combinations
- A permutation is an arrangement of objects in a specific order, whereas a combination is a selection of objects without regard to order.
- For example, the permutations of ABC are ABC, ACB, BAC, BCA, CAB, and CBA, while the combinations of ABC are AB, AC, and BC.
Combinations Formula
- The formula for calculating combinations is: nCr = n! / (r!(n-r)!)
- Where 'n' is the total number of items and 'r' is the number of items chosen.
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