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Question: How many different 4-letter non-meaningful words can be formed by using the letters R, E, A and D, if each letter is used only once?


A ) 24
B ) 3
C ) 21
D ) 16

Steps to derive

1 The possible arrangements of the words using the letters R, E, A and D are as follows:


2 Total number of arrangements = 4! = 4 x 3 x 2 x 1 = 24
 [Expand 4! and multiply.]

3 The meaningful words in the above list are READ, DARE and DEAR.

4 Number of non-meaningful words in the list = 24 - 3 = 21

5 There are 21 non-meaningful words that can be formed using the letters R, E, A and D.



Hence the right answer is Option C

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