Question:
Evaluate $(i) 5! (ii) 7!$
Evaluate $(i) 5! (ii) 7!$
Updated On: Jul 6, 2022
- $ 110,5030 $
- $ 120, 5040$
- $115, 5020 $
- $ 121, 5000$
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The Correct Option is B
Solution and Explanation
(i) $5 ! = 1 \times 2 \times 3 \times 4 \times 5 = 120 $
(ii) $7! = 1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 = 5040$
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Notes on permutations and combinations
Concepts Used:
Permutations and Combinations
Permutation:
Permutation is the method or the act of arranging members of a set into an order or a sequence.
- In the process of rearranging the numbers, subsets of sets are created to determine all possible arrangement sequences of a single data point.
- A permutation is used in many events of daily life. It is used for a list of data where the data order matters.
Combination:
Combination is the method of forming subsets by selecting data from a larger set in a way that the selection order does not matter.
- Combination refers to the combination of about n things taken k at a time without any repetition.
- The combination is used for a group of data where the order of data does not matter.