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S = 7! = 7 × 5 × 4 × 3 × 2 × 1 = 5040 Let E= event of getting exactly fiveletters between P and S n(E) = 5! = 120 ∴ P (E) = (n(E))/(n(S)) = (120 )/5040 = 1/42
A, B and C enter into a partnership, A invest 2X + 5000, B invest X + 15000 and C invest 5X + 2000 for one year if B share is 10000 from total profit of...
A rectangular park with length and breadth of 13 m and 19 m, is surrounded by a path of 3 m wide. Find the area of the path.
A cylindrical pencil of diameter 1.2 cm has one of its end sharpened into a conical shape of height 1.4 cm. The volume of the material removed is
A wire is bent to form a square whose sides are of 88 cm. If the same wire is bent to form a circle, then find the area (in cm2) of the circl...
If the volume of a cylinder is 180π and the ratio of radius to its height is 6:5 then find the curved surface area of cylinder?
Angle bisectors of Q and R meet at point S, inside the triangle PQR. If angle QSR = 116˚ , then the measure of angle P is:
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hour...
If the perimeter of rectangle is 56 cm and its length is 2 cm more than breadth then find its area?
If the ratio of areas of two circle is 4:9, then the ratio of their circumferences will be: