Dictionary Rank of a Word | Permutations & Combinations

 PERMUTATIONS & COMBINATIONS Rank of the word or Dictionary order of the English words like COMPUTER, COLLEGE, SUCCESS, SOCCER, RAIN, FATHER, etc. Dictionary Rank of a Word Method of finding the Rank (Dictionary Order) of the word  “R A I N” Given word: R A I N Total letters = 4 Letters in alphabetical order: A, I, N, R No. of words formed starting with A = 3! = 6 No. of words formed starting with I = 3! = 6 No. of words formed starting with N = 3! = 6 After N there is R which is required R ----- Required A ---- Required I ---- Required N ---- Required RAIN ----- 1 word   RANK OF THE WORD “R A I N” A….. = 3! = 6 I……. = 3! = 6 N….. = 3! = 6 R…A…I…N = 1 word 6 6 6 1 TOTAL 19 Rank of “R A I N” is 19 Method of finding the Rank (Dictionary Order) of the word  “F A T H E R” Given word is :  "F A T H E R" In alphabetical order: A, E, F, H, R, T Words beginni

Important Unit Conversion in Mathematics

Unit conversion table in mathematics, important units and their conversion in mathematics.Changing between units of measurement,Roman numerals into Hindu arabic, prime numbers from 1 to 120



IMPORTANT UNITS CONVERSION  IN MATHEMATICS

10mm (millimeter)
1cm

10cm(centimeter)
1dm

10dm(Decimeter)
1m

10m (Meter)
1 Dam

10Dam (Decameter)
1 Hm

10 Hm (Hectometer)
1Km ( Kilometer)

1 Are (a)
100 m2

1 Hectare(Ha)
10000 m2

100 Ares
1 Hectare

100 Hectares
1 Km2

1 KM
1000 m
100000 cm


1 cm3
1 ml (millilitre) = 1/1000 Litres

1 dm3
1 l (litre)

1 m3
1 Kl (Kilolotre) = 1000 Litres


1 Score
20 Pieces

1 Ream
500 Pages Or 25 Score

1 Quire
24 Pieces

1 Pound
454 gm = About 0.5 Kg

1 Mile
1.6 Km

1 Inch
2.54 cm

12 Inch
1 Foot = 30 cm

36 Inches
1 Yard

3 Feet
1 Yard

1760 Yard
1 mile

1metre
39 Inches or 100 cm

a   Km/h
(a x 5/18 ) m/s

a m/s
(a x 18/5) Km/h

1 Gallon
4.5 Litres

Formula for inter conversion of Celsius scale, Fahrenheit Scale and Reaumur Scale

\[\frac{F-32}{9}=\frac{C}{4}=\frac{R}{4}\]

60 Seconds
1Minute

60 Minutes
1 Hour

24 Hour
1 day

7 days
1 week

About 4 weeks
1 month

12 months
1 year

10 year
1 decade

100 years
1 century

1000 years
1 millennium


Acute Angle
Angle between 0o and 90o

Right Angle
Angle of 90o

Obtuse Angle
Angle Between 90o and 108o

Straight Angle
Angle of 180o

Reflex Angle
Angle between 180o and 360o

Complete angle
360o


Nano
10-9m

Micro
10-6 m

Milli
10-3

Centi
10-2 m

Deci
10-1 m

All conversion into Base units  Metre,

Deka(Da)
10 m

Hecto
100 m

Kilo
10m

Mega
10m 

Giga
10m

Tera
 1012 m


Quantity

Units

Distance, Displacement, Perimeter, Circumference

mm, cm, dm, m, da,

 

Curved surface Area, Total Surface Area

mm2, cm2, dm2, m2, are, hectare

Volume, Capacity

mm3, cm3, dm3 or litre, m3 or Kilolitre

Time

Second, minute, hour, day, month, year

Money

Paise, Rupees



ROMAN NUMERALS INTO HINDU ARABIC

Roman Numerals

Hindu Arabic

Roman Numerals

Hindu Arabic

I

1

CL

150

II

2

CC

200

III

3

CCL

250

IV

4

CCC

300

V

5

CD

400

VI

6

D

500

VII

7

DL

550

VIII

8

DC

600

IX

9

DCC

700

X

10

DCCC

800

XX

20

CM

900

XXX

30

M

1000

XL

40

MC

1100

L

50

MD

1500

LX

60

MM

2000

LXX

70

MMM

3000

LXXX

80

 

XC

90

 

C

100

 


List of Prime Numbers From 1 to 120

2

23

59

97

3

29

61

101

5

31

67

103

7

37

71

107

11

41

73

109

13

43

79

113

17

47

83

119

19

53

89


Note:-There are 10 prime numbers from 1 to 30
There are 25 prime numbers from 1 to 100

OLD INDIAN SYSTEM OF NUMERATION FOR MONEY

4 दमड़ी
1 पैसा

4 पैसे
1 आना            = 3 पाई

16 आने
1 रुपये

OLD INDIAN SYSTEM OF NUMERATION FOR WEIGHT

8 रति
1 मासा

12 मासे
1 तोला

5 तोले
1 छटांक

40 सेर
1 मण           = 16 किलोग्राम

2.5 सेर
1 किलोग्राम

1 बटी      =   5 सेर
2 किलोग्राम

1 धडी     =   10 सेर
4 किलोग्राम

PRESENT  SYSTEM OF NUMERATION FOR WEIGHT

1 Gram
1000 milligram

1 Decagram
10 Gram

1 Hectogram
100 Gram

1 Kilogram
1000 Gram

1 Quintal
100 Kg

1 Metric Ton
1000 Kg


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