A parallelogram is cut by two sets of m lines | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) parallelogram is bounded by two pairs of parallel lines. Initially,there are $2$ parallel lines for each pair of sides. When $m$ lines are added p

Vedclass · Accepted Answer

${(^{m+2}C_2)^2}$

Vedclass · Answer

(C) parallelogram is bounded by two pairs of parallel lines. Initially,there are $2$ parallel lines for each pair of sides. When $m$ lines are added parallel to each side,the total number of parallel lines in each set becomes $m + 2$. To form a parallelogram,we need to select $2$ lines from the first set of $m + 2$ lines and $2$ lines from the second set of $m + 2$ lines. The number of ways to choose $2$ lines from $m + 2$ lines is given by $^{m+2}C_2$. Since we need to choose from both sets,the total number of parallelograms is $^{m+2}C_2 	imes ^{m+2}C_2 = (^{m+2}C_2)^2$.

$A$ parallelogram is cut by two sets of $m$ lines parallel to its sides. The number of parallelograms thus formed is

Similar Questions

In how many ways can a group of $5$ men and $2$ women be made out of a total of $7$ men and $3$ women?

For a set of $5$ true-or-false questions,no student has written all the correct answers,and no $2$ students have given the same sequence of answers. What is the maximum number of students in the class,for this to be possible?

The total number of different combinations of one or more letters which can be made from the letters of the word '$MISSISSIPPI$' is

How many words of $4$ consonants and $3$ vowels can be formed from $6$ consonants and $5$ vowels?

If seven women and seven men are to be seated around a circular table such that there is a man on either side of every woman,then the number of seating arrangements is

Vedclass Test Series

Exam Paper Generator

Online Exam Module