Question

There are two parallel lines. Six points are marked on one line and five points marked on the other line. How many straight lines, including the first two can be formed with these points?

• A. $29$
• B. $33$
• C. $32$
• D. $55$

Answer 1

Answer: (C)

$32$

Points on the first line $=6$

Points on the second line $=5$

To form new lines , we need one point each from each line

Selection/number of lines ${}^6{C}_1{.}^5{C}_1=30$

Total number of lines including the old lines $=30+2=32$