Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
1.5k views
in Permutations by (24.8k points)
closed by

How many words, with or without meaning, can be formed by using the letters of the word ‘TRIANGLE’?

1 Answer

+1 vote
by (27.0k points)
selected by
 
Best answer

Given,

The total number of letters in ‘TRIANGLE’ = 8 

To find : number of words, with or without meanings using all the letters of the word like triangel or angletri etc. 

Formula used : 

Number of arrangements of n things taken all at a time = P(n, n)

P(n, r) = \(\frac{n!}{(n-r)!}\)

∴ The total number of ways in which this can be done 

= the number of arrangements of 8 things taken all at a time 

= P(8, 8)

\(\frac{8!}{(8-8)!}\)

\(\frac{8!}{0!}\) 

{∵ 0! = 1} 

= 8! 

Hence, 

Number of words, with or without meanings using all the letters of the word ‘TRIANGLE’ are 8!.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...