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If a set of 'm' parallel lines intersect...

If a set of 'm' parallel lines intersect another set of 'n' parallel lines (not parallel to the lines in the first set), then find the number of parallelograms formed in this lattice structure.

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The correct Answer is:
`""^(m)C_(2)xx""^(n)C_(2)`
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AAKASH SERIES-PERMUTATIONS & COMBINATIONS-EXERCISE -1.5 VERY SHORT ANSWER QUESTIONS
  1. Find the value of ""^(10)C(5)+2. ""^(10)C(4)+""^(10)C(3).

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  2. Simplify ""^(34)C(5)+ overset(4) underset(r=0)Sigma ""^((38-r))C(4).

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  3. If ""^(n)P(r)=5040 and ""^(n)C(r)=210, find n and r.

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  4. Find the number of ways of selecting 7 members from a contingent of 10...

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  5. Find the number of ways of selecting 3 girls and 3 boys out of 7 girls...

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  6. Find the number of ways of selecting 3 vowels and 2 consonants from th...

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  7. Find the number of ways of selecting 4 English, 3 Telugu and 2 Hindi b...

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  8. Find the number of ways of selecting a committee of 6 members out of 1...

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  9. Find the number of ways of selecting 5 books from 9 different mathemat...

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  10. The number of five letter words can be formed using 3 consonent...

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  11. 10 persons are sitting in a row. Find the number of ways of selecting ...

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  12. 10 persons are sitting around a circle. In how many ways can 2 persons...

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  13. If a set of 'm' parallel lines intersect another set of 'n' parallel l...

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  14. Find the number of diagonals of a polygon with 12 sides.

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  15. If there are 5 alike pens, 6 alike pencils and 7 alike erasers, find t...

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  16. Find the number of positive divisors of 1080

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  17. Find the number of ways of dividing 80 persons into 3 groups containin...

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  18. Find the number of ways in which 12 things be (i) divided into 4 equal...

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  19. Find the number of ways in which 12 things be (i) divided into 4 equal...

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  20. To pass an examination a student has to pass in each of the three pape...

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