How many words can be formed by using the letters of the word LETTER, if all the words will be start

M4maths Previous Puzzles

06 Jul 2012 word

How many words can be formed by using the letters of the word LETTER, if all the words will be started from L.

OPtion

1) 120
2) 720
3) 24
4) 12
5) 360
6) 30
7) 48
8) 60
9) 6
10) none of these

Solution

First letter is L
so methods for arranging the other letters = 5*4*3*2*1/(2*1)*(2*1)
denominator is here for the repetition of E and T

Correct Option: 6 Best Solution (22)

Pargat Pal Singh   12 years AGO

L is at first place.

Rest 5 letters are to be placed differently to make different words.

so number of all words starting with L = 5!/(2*2) as T and E are repeated. = 120/4=30 words

Like? Yes (12) | No (5)  

pradeep reddy BK   12 years AGO

word should start with L
the remaining 5 letters can be arranged in 5!/2!*2! ways = 120/4=30

Like? Yes (4) | No (2)  

Tousifahmad   12 years AGO

5!/(2!*2!)

Like? Yes (1) | No   

B.Senthil Kumar   12 years AGO

Given word = LETTER
No. of words = 6
6!=720
each letter has 120 words
no. of words starting with L=120/(2! * 2!)=30
since E and T appeared twice

Like? Yes (2) | No (1)  

Jailani   12 years AGO

Remaining letter is 5
(5!)/(2!*2!*1!)
=120/4
=30

Like? Yes (3) | No (2)  

sukhvir chahal   12 years AGO

(5!)/(2*2)=30

Like? Yes (1) | No   

sagar arora   12 years AGO

L(EE)(TT)R
leaving L 5 letters
5!
2 are repeating
5!/(2!*2!)
120/4
Ans is 30

Like? Yes (1) | No   

shilpi gupta   12 years AGO

L is fixed rets 5 can be arranged in 5! ways but E & T repeats so
5!/2!*2!=30 ways

Like? Yes (2) | No (2)  

ankit kesarwani   12 years AGO

5!\2!2!

Like? Yes (1) | No (1)  

Dimple   12 years AGO

5!/4 = 30

Like? Yes (2) | No (2)  

anand   12 years AGO

Word 'LETTER' has 6 letters.
npr=n!/r!

5!/(2!*2!)=30

Like? Yes (1) | No (1)  

Shiv Kumar   12 years AGO

Since E and T are appearing two times each
5!/(2!*2!) = 30

Like? Yes (1) | No (1)  

Nithya   12 years AGO

LETTER
ETTER so 5!/(2!)(2!)=30

Like? Yes (2) | No (2)  

Browns MN   12 years AGO

LETTER
Excludin letter L, factorial of reamainin that is
5*4*3*2*1
Now divide by 2*1,2*1 Coz letter E and letter T are repeated twice

Like? Yes (1) | No (1)  

Rakesh Kumar Kohli   12 years AGO

Total number of letters that can be made starting with L = 5! = 120
But E and T occur twice,
So the number of words = 120/(2*2) = 30

Like? Yes (1) | No (1)  

asim   12 years AGO

there are 6 letters namely 'L' , 'E' , 'T' , 'T' , 'E' , 'R' .
since first letter is fixed i.e. 'L'
hence remaining 5 letters can be filled by :-
=> 5! / 2! * 2!
=> 30

Like? Yes (1) | No (2)  

Balakrishnan M   12 years AGO

If all the words will be started from L,
i.e., the remaining letters in the word LETTER is 2-E,2-T,1-R
5!/(2!*2!*1!)= 30
30 words can be formed by using the letters of the word LETTER, if all the words will be started from L.

Like? Yes (1) | No (2)  

satvant sandhu   12 years AGO

L is fixed rets 5 can be arranged in 5! ways but E & T repeats so
5!/2!*2!=30 ways

Like? Yes (1) | No (2)  

Balakumaran N.A   12 years AGO

120/4 =30

Like? Yes (1) | No (2)  

phani   12 years AGO

WORDS ARE TO BE STARTED WITH L:
SO THERE ARE 5PLACES SO:5!
BUT THERE ARE 2E'S and 2 T'S
SO TOTAL PLACES=5!/(2!*2!)
=120/4=30

Like? Yes (1) | No (2)  

chaitanya   12 years AGO

5!/4
=30

Like? Yes (1) | No (2)  

phani   12 years AGO

WORD STARTS WITH L:
IN REMAINING 5PLACES THERE ARE 2 E'S 2T'S:
SO TOTAL WORDS=5!/2!=30

Like? Yes (1) | No (2)