Question:
How many words beginning with T and ending with E can be made (with no letter repeated) out of the letters of the word 'TRIANGLE' ?
How many words beginning with T and ending with E can be made (with no letter repeated) out of the letters of the word 'TRIANGLE' ?
Updated On: Jul 6, 2022
- 1440
- $^8C_6$
- 720
- 722
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The Correct Option is C
Solution and Explanation
In 'TRIANGLE' there are 8 letters. T- - - - - - E, remaining 6 letters which can be arranged by 6! ways = 6 . 5 . 4 . 3 . 2 . 1 = 720.
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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.