Question:
The number of words that can be formed by using all the letters of the word $PROBLEM$ only one is
The number of words that can be formed by using all the letters of the word $PROBLEM$ only one is
Updated On: Jun 8, 2024
- 5!
- 6!
- 7!
- 8!
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The Correct Option is C
Solution and Explanation
The word '$PROBLEM$' has $7$ letters viz. $P, R, O, B, L, E, M$
$\therefore$ Total number of words that can be formed by using all the letters only one = Number of arranging the seven letters $=7 !$
$\therefore$ Total number of words that can be formed by using all the letters only one = Number of arranging the seven letters $=7 !$
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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.