[" Find the sumber of ways of arringling "7" guests and a tiost arwand a circle if "2" particolar gicals "],[" an on ether side of the howt."]

Find the number of ways of arranging 7 guests and a host around a circle if 2 particular guests wish to sit on either side of the host.

Find the number of ways of arranging 7 persons around a circle.

Eighteen guests are to be seated half on each side of a long table. Four particular guests desire to sit on particular side and three others on other side of the table. The number of ways in which the seating arrangements can be made is (i) ((11!))/((5!)(6!))((9!))^(2) (ii) ((11!))/((5!)(6!))((9!))^(2)*2! (iii) ((11!))/((5!)(6!))(2!) (iv) ((11!))/((5!)(6!))((9!))*(2!)

In the following figure one side of the triangleABC passes through the centre P of the circle and the other two sides of this triangle are tangents to this circle. If BN=2 cm and AC=6 cm, find the radius of the circle.

Find perimeter of the square of side 8(2)/(7) units

Eight guests have to be seated 4 on each side of a long rectangular table.2 particular guests desire to sit on one side of the table and 3 on the other side.The number of ways in which the sitting arrangements can be made is

In the given figure, OABC is a square of side 7 cm. If OAPC is a quadrant of a circle with centre O, then find the area of the shaded region.