p & c

in a plane there are 5 straight lines which all pass through a given point , 6 others which all pass through another given point and 7 others which all pass through a third given point. supposing no other three intersect at any point and no two are parallel, find the number of triangles formed by the intersection of the straight lines

14 Answers

1
big looser ......... ·

arey saare busy hain kya

1
°ღ•๓яυΠ·

everyone's busy replyin in dat vday thred :P

1
°ღ•๓яυΠ·

m gettin 2 large value awats d ansewr?

1
big looser ......... ·

answer given in book is 751 but i m getting 741

1
°ღ•๓яυΠ·

post ur method coz m gettin very large value will try 2 find out mistake :)

1
greatvishal swami ·

i 2 am getin a value mucn larger

1
big looser ......... ·

wait.........

1
°ღ•๓яυΠ·

gr8vish atlast u gt tym 4 this thrd :P

1
greatvishal swami ·

i always hav time fr stdies related things inte i was busy solving this prob

1
°ღ•๓яυΠ·

ooye i was kiddin.........chill maro

1
big looser ......... ·

let group 'A' contains 5 lines..... group 'B' contains 6 lines and group 'C' contains 7 lines
a triangle can be formed using three lines
now no. of triangles formed using two lines from group A and 1 from group B or C = 5C2x6C1 + 5C2x7C1
now no. of triangles formed using two lines from group B and 1 from
group A or C = 6C2x5C1 + 6C2x7C1
now no. of triangles formed using two lines from group C and 1 from group A or B = 7C2x5C1 + 7C2x6C1
no. of triangles formed from each line from all groups = 6C1x7C1x5C1

1
°ღ•๓яυΠ·

hey m gettin 751
ur method is rite u misght hav done sum cal misatke

1
big looser ......... ·

YA I HAVE DONE MISTAKE IN CALCULATION....................... THANKS

1
°ღ•๓яυΠ·

np:)

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