Question:
How many 5-letter words with or without meaning can be formed out of letters of the word EQUATIONS if repetition of letters is not allowed?
How many 5-letter words with or without meaning can be formed out of letters of the word EQUATIONS if repetition of letters is not allowed?
Options:
- 95
- 9C5
- 59
- 9C5 x 5!
- 95
- 9C5
- 59
- 9C5 x 5!
Correct Answer: b)
Explanation:
‘ There are 9 letters in the word “EQUATIONS. In order to form 5-letter words, we first select
5 letters out of these 9 letters.
‘ Selection of 5 letters out of 9 letter can be done in cs ways.
‘ Arranging of 5 selected letters to form 5-letter words can be done in 5! ways.
.”. Total number of 5 letter words = cs x 5!
2»
:
‘ (b) 231
‘ There are 9 letters in the word “EQUATIONS. In order to form 5-letter words, we first select
5 letters out of these 9 letters.
‘ Selection of 5 letters out of 9 letter can be done in cs ways.
‘ Arranging of 5 selected letters to form 5-letter words can be done in 5! ways.
.”. Total number of 5 letter words = cs x 5!
2»
:
‘ (b) 231