CA Foundation Exam > CA Foundation Videos > Quantitative Aptitude for CA Foundation > Permutations & Combinations- 3
Permutations & Combinations- 3 Video Lecture | Quantitative Aptitude for CA Foundation
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FAQs on Permutations & Combinations- 3 Video Lecture - Quantitative Aptitude for CA Foundation
| 1. What is the difference between permutations and combinations? |  |
Ans. Permutations and combinations are both concepts in mathematics that deal with counting and arranging objects. The main difference between them lies in the order of arrangement. Permutations consider the order of objects, while combinations do not.
| 2. How do you calculate permutations? | |
Ans. To calculate permutations, you use the formula nPr = n! / (n-r)!. Here, n represents the total number of objects available, and r represents the number of objects you want to arrange. The exclamation mark (!) denotes the factorial function, which means multiplying all the whole numbers from 1 to that number.
| 3. Can you provide an example of a permutation? | |
Ans. Sure! Let's say you have 4 different books, and you want to arrange them on a shelf. The number of permutations can be calculated using the formula mentioned earlier. n = 4 (number of books) and r = 4 (all the books). So, the permutation would be 4P4 = 4! / (4-4)! = 4! / 0! = 4! / 1 = 4 x 3 x 2 x 1 = 24.
| 4. What is the formula for combinations? | |
Ans. The formula for combinations is nCr = n! / (r!(n-r)!). Similar to permutations, n represents the total number of objects available, and r represents the number of objects you want to choose. The exclamation mark (!) denotes the factorial function.
| 5. How do you calculate combinations? | |
Ans. To calculate combinations, you can use the formula mentioned earlier. For example, if you have 5 different fruits, and you want to choose 3 of them, you can calculate it as 5C3 = 5! / (3!(5-3)!) = 5! / (3!2!) = 5 x 4 / 2 x 1 = 10. So, there are 10 different combinations of choosing 3 fruits out of 5.
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Nov 23, 2024 Last updated |
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