Download App

Permutations and Combination — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsPermutations and Combination1 Mark
Question
Four parallel lines intersect another set of five parallel lines. Find the number of distinct parallelograms formed.
✓

Answer

The first set has 4 parallel lines and another set has 5 parallel lines. To form a parallelogram, we need 2 lines from each set.$\therefore$ Required number of distinct parallelograms formed $={ }^4 C _2 \times{ }^5 C _2$

= 6 × 10

= 60

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the following Question.(1 Marks)" from Permutations and Combination→Permutations and Combination — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

Write down the all possible proper subset of the given set.
{1, 2, 3}
→
Determine the distance between the following pair of parallel lines:
$4x - 3y - 9 = 0$ and $4x - 3y - 24 = 0$
→
Write the following expressions as sum or difference of logarithms:

$\log (\sqrt{x} \sqrt[3]{y})$

→
Name the octants in which the following points lie:
(2, -5, -7)
→
If a set contains n elements, then write the number of elements in its power set.
→
Write the component statements of the following compound statements and check whether the compound statement is true or false:
All rational numbers are real and all real numbers are not complex.
→
Express the following exponential equations in logarithmic form:

$e^{\frac{1}{2}}=1.6487$

→
Write the value of $\frac{\text{i}^{592}+\text{i}^{590}+\text{i}^{588}+\text{i}^{586}+\text{i}^{584}}{\text{i}^{582}+\text{i}^{580}+\text{i}^{578}+\text{i}^{576}+\text{i}^{574}}.$
→
Write the coordinates of the circumcentre of a triangle whose centroid and orthocentre are at (3, 3) and (-3, 5), respectively.
→
The vertices of a triangle are $O(0, 0), A(a, 0)$ and $B(0, b)$.Write the distance between the circumcenter and orthocentre of $\triangle \text{OAB}$ .
→