SOLUTION: Four lines on the plane have at most N common points. Find N. A)7 B)6 C)5 D)4

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Question 1143913: Four lines on the plane have at most N common points. Find N.
A)7
B)6
C)5
D)4

Found 2 solutions by math_helper, ikleyn:
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

Think about it ... imagine drawing the lines one at a time:
The first line has no lines to cross. Common points = 0.
The 2nd line can cross the first line (at most) once. Common points = 1.
The 3rd line can cross each of the first two lines once. That's two more. Common point count is now 1+2 = 3.
The 4th line can cross each of the first three lines once. That's three more. Common point count is now 3+3 = 6.
B) 6
Answer by ikleyn(52802)   (Show Source): You can put this solution on YOUR website!
.

For other solution, see my post under this link

https://www.algebra.com/algebra/homework/word/mixtures/Mixture_Word_Problems.faq.question.1143914.html

https://www.algebra.com/algebra/homework/word/mixtures/Mixture_Word_Problems.faq.question.1143914.html



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