What will be the rank of the word "PHYSICS" in the dictionary of word formed by letter of the word "

M4maths Previous Puzzles

14 May 2015 Rank of the word

What will be the rank of the word "PHYSICS" in the dictionary of word formed by letter of the word "PHYSICS" taking all letters at a time.

OPtion

1) 1088
2) 1092
3) 1099
4) 1115
5) 1153
6) 1170
7) 1189
8) 1197
9) 1199
10)1200

Solution

Total number of words = (7*6*5*4*3*2*1)/(2*1*2*1) = 2520
So rank of word "PHYSICS" is
(2520/7)*3 + (360/6)*1 + (60/5)*4 + (12/4)*2 + (3*2/3)*1 + (2/2)*0+1
= 1080 + 60 + 48 + 6 + 2 + 1
= 1197
Option 8)

Correct Option: 8 Best Solution (15)

siddharth prakash singh   9 years AGO

Ascending order of alphabets of PHYSICS=CHIPSSY
No of words starting with C=6!/2=360
No of words starting with H=6!/2=360
No of words starting with I=6!/2=360
No of words starting with PC=5!/2=60
No of words starting with PHC=4!/2=12
No of words starting with PHI=4!/2=12
No of words starting with PHS=4!=24
No of words starting with PHYC=3!/2=3
No of words starting with PHYI=3!/2=3
No of words starting with PHYSC=2!=2
and the last word is PHYSICS i.e 1 ways.
so total of 1197 ways.

Like? Yes (13) | No   

SAGNIK DATTA   9 years AGO

after calculating we get correct answer is 1197

Like? Yes (4) | No   

ravi singh   9 years AGO

Answer is 1197
In the word "PHYSICS"

Position of letter P =
3*(6!)/(2!) = 1080

Position of letter PH=
(5!)/(2!)= 60

Position of letter PHY =
2*(4!)/(2!)+ 4! =48

Position of letter PHYS =
2*3!/(2!) = 6
Position of letter PHYSI =
2! = 2

Position of word " PHYSICS"
= 1080+60+48+6+2+1
=1197

Like? Yes (4) | No   

vivek   9 years AGO

rank of word PHYSICS is ...
360+360+360+60+12+12+12+12+3+3+2+1=1197

Like? Yes (3) | No   

Palash Malani   9 years AGO

(6!/2!)*3 + (5!/2!) +(4!/2!)*2 + 4! + (3!/2!)*2 + 2! + 1 =1197

Like? Yes (3) | No   

Surit Datta   9 years AGO

1197 is the answer.
After calculation we get this.
So option 8
That's it.

Like? Yes (3) | No (1)  

Srinivas   9 years AGO

3(6!/2!)+5!/2!+2(4!/2!)+4!+3*2+2+1=1197

Like? Yes (2) | No   

atmakuri jagadish   9 years AGO

3(6!/2!) + (5!/2!) + 2.4! + 3! + 2! + 1

Like? Yes (3) | No (1)  

yadagiri reddy   9 years AGO

(3*6!/2!)+(5!/2!)+(4*4!/2!)+(2*3!/2!)+(3*1!)
=1197

Like? Yes (2) | No   

Meenakshi   9 years AGO

Rank of word Physics:
Arrange in Alphabetical order First CHIPSSY
=>(6!/2!)*3+(5!/2!)+(4!/2!)*2+4!+(3!/2!)*2+2!+1
=>1197
option 8)

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kranthi kanchanapally   9 years AGO

(6!/2!)*3 + (5!/2!) *1+(4!/2!)*2 + 4! + (3!/2!)*2 + 2!*1 + 1
=1080+60+24+24+6+2+1
=1197 is the answer

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aman aditya   9 years AGO

1080+60+48+6+2+1=1197

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poojasaisri   9 years AGO

in alphabetical order CHIPSSY
rank =((6!/2!) *3)+(5!/2!)+((4!/2!)*2)+4!+((3!/2!)*2!)+2!+1
=1080+60+24+24+6+2+1
=1197

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Karthick Raja   9 years AGO

Using Permutations and Combinations?
?
(6!/2!)*3 + (5!/2!) +(4!/2!)*2 + 4! + (3!/2!)*2 + 2! + 1 =1197?
?

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sourav pal   9 years AGO

PHYSICS
rank would be ==== (6!/2!)*3 + (5!/2!) +(4!/2!)*2 + 4! + (3!/2!)*2 + 2! + 1 =1197

Like? Yes (2) | No