Ordering /Position of person arrangement problems tricks and formulas

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Type  1:

If Total no of persons in a row is ‘x’

If position of person from one side is ‘a’

If position of person from other side is ‘b’

If number of persons after or before the given person=’n’

Formula 1: x= (a+b)-1

Formula 2: b=(x-a) +1

Formula 3 : x=a+n

Type 2: Overlapping

Position of  A from left side= L

Position of B from Right side=R

Number of students between two different persons is  ‘ d’

Case 1 : When there is no overlapping i.e.  (L+R)<x

Formula 1 : d=x-(L+R)

Case 2 : When there is  overlapping  i.e (L+R)>x

 Formula 2 : d=(L+R)-x-2

Type 3: Positions Interchanging

Position of two persons will be given and their positions are interchanged

→ New Position of 2^nd person from the same side before interchanging = position of 2^nd person from same side before interchanging + (position of 1^st person  after interchanging-position of 1^stperson before interchanging from same side) 

       

    → To find total no of students in a row, find the person whose position from both sides can be known from the statement . Add both his positions from opposite ends and subtract 1

     →  To find number of persons between  two persons , Subtract position of common person whose position from same side before and after interchanging is given than subtract 1

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