The production of washing machines in a factory increases uniformly by a fixed number every year. The factory produced 2014 washing machines in the 3rd year and 3830 washing machines in the 7th year. Find the production of washing machines in the first 7 years.
The coordinates of one end point of a diameter AB of a circle are A(4,2) and the coordinates of the center of the circle are C(−1,4). Find the coordinates of B.
A rope is tightly stretched and attached from top of a vertical tower to the ground. The angle made by rope with ground is 30∘. If length of the rope is 6m, find height of the tower.
Find the difference between the area of a regular hexagonal plot each of whose side is 58m and the area of the circular swimming tank inscribed in it. [π=227 and √3=1.732]
There are a total of 16 chocolates - 4 each in the flavors of cherry, orange, banana and grape. There are also 5 children. If each child is allowed to choose their own favorite flavor, what is the probability that all of them will get flavors of their choice?