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`        a parallelogram is cut by two sets of m parallel lines to its sides. find the no. of parallelograms formed.. `
7 years ago

147 Points
```										Dear ajinkya
parallelogram is cut by two sets of m parallel lines to its  sides.
then we have  2 sets of (m+2) parallel lines ( 2 lines of the parallelogram)
so parallelogram is formed by taking 2 lines from each set
= m+2C2 * m+2C2
= [(m+2)(m+1)/2 ]2
this also include 1 original parallelogram
so total number of new parallelogram formed is  =   [(m+2)(m+1)/2  ]2   -1

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```
7 years ago
Neerav
15 Points
```										a and b sides of pgm is used as border. hence, 2 sides remain.- PART 1if x given is more than exact amount, take x as x+1-PART 2but here, we have 2 sides, i.e. x+2.-PART 3SINCE WE HAVE 2 SETS, C(M+2,2)*C(M+2,2)
```
one month ago
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