Question
A committee of 4 members is to be formed from 5 men and
4 women such that at least one woman is included. In how many ways can this be done?Solution
ATQ, Total people = 9 Total ways to choose any 4 = C(9,4) = 126 Ways with no woman (all 4 are men): Men = 5 β C(5,4) = 5 Required ways = 126 β 5 = 121.
Find the ratio between the area of the in-circle and the circum-circle of a square?
A solid cylinder has radius of base 14 cm and height 15 cm. 4 identical cylinders are cut from each base as shown in the given figure. Height of small c...
The area of the largest triangle inscribed in a semi-circle of radius R is-
In a rectangle PQRS, there is a point A located within the interior of the rectangle. The distances from point A to three vertices of the rectangle are ...
- If two circles of radii 'R' and 'r' cm intersect each other externally at one point, then which of the following is true?
Find the area of the region enclosed by the curves : y = 0, x = |y| and y = |x - 2|.
One chord of a circle is given as 21.5 cm. Then the radius (r) of the circle must be:
A triangular field has sides 13 m, 14 m, and 15 m. A well with a diameter of 7 m is dug outside the field. If the entire soil dug from the well is used ...
The length of the each side of an equilateral triangle is 28β3 cm . The area of circumcircle, (cm 2 ) is
Find the distance between two parallel chords of length 24 cm each in a circle of diameter 25 cm?