Question
How many labeled binary tress can be made with n nodes?
Solution
Number of binary trees that can be made are(2nCn)/n+1 and when we want them labelled then we have to count for the arrangements as well so total number will ((2nCn)/n+1)*n! when combination is multiplied by n! that is the number of way we can do labeling.
The perimeter of 4 squares is 28 cm, 36 cm, 40 cm and 56 cm respectively. What will be the area of the square having perimeter equal to sum of edges of ...
The circumference of a circle is given as 220 m. What is the area of the circle? [Use π = 22/7]
PQRS is a rectangle. T is a point on PQ such that RTQ is an isosceles triangle and PT = 5 QT. If the area of triangle RTQ is 12 √3 sq.cm, then the ar...
The area of a regular hexagon with side as 6 cm is
Mr. Arun rows a boat with the stream at 10 km/hr and against the stream in 5 km/hr. In still water, his rate of rowing in km/h is:
Ratio of length to width of a rectangular field is 5:4. If the perimeter of the field is 360 metres, then find the area (in m2) of the field.
AB is the diameter of a circle with center o. P is the point on it If the cone ∠AOP is equal to 98 degrees then ∠OBP will be.
The perimeter of a rhombus is 130 m. If one of its diagonals is 16 m, then the area of the rhombus is
In a sphere if the radius is increased by 25% then by how much percentage volume increased:
Nine cubes with each side measuring 3 cm are aligned in a straight row to build a cuboid. What is the total surface area of the resulting cuboid?