Question Details

How many distinct valid English words can be created using all the letters of the word BRICK, with each letter being used exactly once per word?

Options

A

2

B

4

C

3

D

1

Show Answer

Correct Answer :

Option D

1

Solution :

The correct answer is 1.


To find how many distinct valid English words can be created using all the letters of the word BRICK exactly once, let's analyze the given letters:


The set of letters is {B, R, I, C, K}.


Although the total number of permutations of 5 distinct letters is:

5!=5×4×3×2×1=120


only 1 of these permutations forms a valid, meaningful word in standard English, which is the original word itself: BRICK.


Therefore, there is only 1 distinct valid English word that can be formed.

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