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Miscellaneous: Combinations Video Lecture | CSAT Preparation - UPSC

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FAQs on Miscellaneous: Combinations Video Lecture - CSAT Preparation - UPSC

1. What is the concept of combinations in mathematics?
Ans. In mathematics, combinations refer to the selection of elements from a given set without considering the order. It involves choosing a subset of items where the order does not matter.
2. How is the concept of combinations different from permutations?
Ans. Unlike combinations, permutations consider the order of elements. In permutations, the arrangement of the selected items is significant, whereas in combinations, only the selection matters, not the order.
3. How do you calculate the number of combinations for a given set?
Ans. The number of combinations can be calculated using the formula C(n, r) = n! / (r!(n-r)!), where n represents the total number of items in the set and r represents the number of items to be chosen.
4. Can you provide an example of a real-life application of combinations?
Ans. One example of a real-life application of combinations is in lottery games. When choosing a set of numbers, the order of selection does not matter, making it a combination. Calculating the odds of winning involves finding the number of possible combinations.
5. Is it possible to have repetitions in combinations?
Ans. No, combinations do not allow repetitions. Each element can only be selected once. If repetitions are allowed, it would be a different concept called combinations with repetitions or multisets.
207 videos|156 docs|192 tests
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