How many words can be formed by letters of the word \"MEGAMOTOR\" using all at a time.

M4maths Previous Puzzles

25 Sep 2012 words

How many words can be formed by letters of the word "MEGAMOTOR" using all at a time.

OPtion

1) 84540
2) 90720
3) 92340
4) 94320
5) 98760
6) 123240
7) 124350
8) 129820
9) 130260
10) none of these

Solution

total letters = 9
repeated letters M = 2
O = 2
so total words = 9*8*7*6*5*4*3*2*1/2*1*2*1 = 90720

Correct Option: 2 Best Solution (15)

Pallab Roy Chowdhury   11 years AGO

Letter Count
M 2
E 1
G 1
A 1
O 2
T 1
R 1

Hence,the required number of words=(9!/(2!*2!))=90720.

Like? Yes (6) | No   

Ajay Kashyap   11 years AGO

(9*8*7*6*5*4*3*2)/ 2*2 = 90720

Like? Yes (7) | No (3)  

sagar arora   11 years AGO

as rthere are 9 letters and M and O are twice so no of possible words=9!/(2!*2!)
=90720

Like? Yes (2) | No (2)  

susmit   11 years AGO

There are nine letters in the word.
so, 9! = 362880
M is repeating twice and O is also repeating twice
Hence 2!*2! = 4
hence the answer is 362880/4 = 90720
Hence option no. 2

Like? Yes (1) | No (1)  

Balakumaran N.A   11 years AGO

9 letters and 2 M 2 O;
so, 9!/ 2!*2! = 362880/4 = 90720

Like? Yes (1) | No (1)  

P M Anoop Sabir   11 years AGO

MMOOTRAGE
9*8*7*6*5*2*3*1*1

Like? Yes (2) | No (2)  

Narender Bhardwaj   11 years AGO

Given word is "MEGAMOTOR"
Total number of words=9
Repeating words=M and O 2 times
Hence words can be formed by letters of the word "MEGAMOTOR" using all at a time=9!/(2!*2!)=90720

Like? Yes (3) | No (3)  

ArunKumar   11 years AGO

total no of words = 9
so = 9! / 2! *2!

= 90720

Like? Yes (1) | No (1)  

Ashutosh Ranjan   11 years AGO

M-2, O-2, E-1,G-1,A-1,T-1 AND R-1
Total no. of letters in word "MEGAMOTOR" is 9.
hence no. of word formed= 9!/(2!*2!)
=9*8*6*5*4*3*2/(2*2)= 90720
Hence answer is option (2)90720
Thanks...

Like? Yes (1) | No (1)  

Nitish Kumar   11 years AGO

total no of letter in "MEGAMOTOR"=9
Reqd. no. =9!/(2!*2!)=90720
because, M & O repeat 2 times, so we divide by 2! & 2! .

Like? Yes (1) | No (1)  

ramkishore   11 years AGO

here megamotor contains 9 letters..
so we can arrange it by 9!
now there bare three verbs..
these we can arrange by 3!
and here m and o are two times..
so the answer is (9!)/(3!*2!*2!)

Like? Yes (1) | No (1)  

vivek kumar   11 years AGO

9 letters can be arranged in 9! ways
there are 2M and 2O
so,no of words can be formed=9!/(2!*2!)=90720

Like? Yes (1) | No (1)  

Rajesh kumar   11 years AGO

we know that we have to find out of permutation of
world "MEGAMOTOR"
n0.of worlds=!9/(!2*!1*!1*!1*!2*!1*!1) =90720=(2)ans
M=2=!2
E=1=!1
G=1=!1
A=1=!1
O=2=!2
T=1=!1
R=1=!1

Like? Yes (1) | No (1)  

sridhar reddy   11 years AGO

MEGAMOTOR has 9 letters
and M & O repeated twice in it
so the number of words
9!/2!*2!
=90720

Like? Yes (1) | No (1)  

ARUNACHALAM   11 years AGO

There are totally 9 letters so we can rearrange it in 9!(i.e)362880 ways.But the letters O and M comes 2 times so we have to divide the answer by 2!*2!.....

Like? Yes (1) | No (1)