Latest TCS Aptitude Question SOLUTION: how many parallelograms are formed by a set of 4parallel lines intersecting an other set of 7 parallel lines

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how many parallelograms are formed by a set of 4parallel lines intersecting an other set of 7 parallel lines

Asked In TCS ishwarya (12 years ago)

Unsolved Read Solution (15)

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Debarchana Basak  (12 years ago)

Let there be 4 horizontal set of parallel lines and 7 vertical set of parallel line.(U can also consider vice-versa)
Now for a parallelogram, u need 2 horizontally parallel and 2 vertically parallel lines ie. we need to choose 2 lines from each set.
So the solution will be 7C2*4C2=126

Is this solution Helpfull? Yes (53) | No (1)  

Shikha  (12 years ago)

4C2 * 7C2 = 6*21= 126 parallelograms

Is this solution Helpfull? Yes (11) | No (4)  

aps  (12 years ago)

since as we know that in a parallelogram,we need 2 horizontally parallel lines and 2 vertically parallel lines ie. we need to choose 2 lines from each set.so we get 7c2*4c2=21*6=126....so we get 126 parallelograms

Is this solution Helpfull? Yes (7) | No (2)  

RAHUL KUMAR  (12 years ago)

((36+6)*(9+3))/4=126 parallalogram

Is this solution Helpfull? Yes (5) | No (2)  

AAKRITI GUPTA   (12 years ago)

for a parallelogram 4 lines are req..
thus
4C2*7C2=126

Is this solution Helpfull? Yes (3) | No   

swati bahore  (12 years ago)

it should be 30240

Is this solution Helpfull? Yes (1) | No (25)  

srivasalakshmy  (9 years ago)

(7c2)(4c2)=126

Is this solution Helpfull? Yes | No   

biswa  (9 years ago)

7c2*4c2=126

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Chenna Reddy   (9 years ago)

126 PARALLELOGRAMS..
EXPLANATION:- 2 PARALLEL HORIZANTAL LINES AND 2 VERTICAL(LITTLE GRADIENT)LINES FORMS A PARALLELOGRAM,,
SO 2C2*2C2= 1 PARALLELOGRAM....
SIMILARLY, 4C2*7C2=126 PARALLELOGRAMS..

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C.G.Kavya sree  (9 years ago)

4c2*7c2=126

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ram  (8 years ago)

(5c2)*7c2 parallelogram means two lines must be parallel so pair them and we have 2 sets one intersecting with the other ,the total combinations can be known using this formula

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srishti arya  (8 years ago)

18
construct 4 parallel lines and 7 other lines intersecting those 4 lines.

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muthyam vempally  (8 years ago)

4C2*7C2=126

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Navdeep Singh  (8 years ago)

4C2 X 7C2 = 126 ans........

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Kiruthiga Ramesh  (7 years ago)

7C2*4C2=126

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