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Numerical Ability
Permutation and Combination
16. If 10 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed?
a) 80
b) 63
c) 120
d) 1260
Read Solution (Total 8)
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- parallelogram can formed by 2 horizontal and 2 vertical lines
for horizontal 10c2
for vertical 8c2
total parallelogram is 10 c2*8c2=45*28
=1260 - 9 years agoHelpfull: Yes(20) No(1)
- 1260
10c2* 8c2 - 9 years agoHelpfull: Yes(19) No(1)
- 10C2*8C2 = 1260 formed
- 9 years agoHelpfull: Yes(1) No(0)
- If m parallel lines in a plane are intersected by a family of n parallel lines.The no. of parellelograms formed will be mn(m-1)(n-1)/4
given m=8 and n=10
Hence no.of parallellograms formed=(80*7*9)/4=1260 - 8 years agoHelpfull: Yes(1) No(0)
- d
because from ten 10c2*8c2 - 9 years agoHelpfull: Yes(0) No(0)
- parallelogram have two horizontal& two vertical lines then our solution is 10 c 2 *8 c 2=1260.
- 9 years agoHelpfull: Yes(0) No(0)
- 1260
selecting two lines from one set of 10 paralle lines and selecting other 2 line from one set of 8 parallel lines
10c2*8c2=1260 - 9 years agoHelpfull: Yes(0) No(0)
- 10c2*8c2 =1260
- 8 years agoHelpfull: Yes(0) No(0)
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