If eleven members of a committee sit at a round table so that the President and Secretary always sit together, then the number of arrangements is

Question

If eleven members of a committee sit at a round table so that the President and Secretary always sit together, then the number of arrangements is (A)  10! × 2 (B) 10!  (C)  9! × 2 (D)  11 ! × 2

Tardigrade Admin · Accepted Answer

Since, out of eleven members, two members sit together, then the number of arrangements = 9! × 2 (∵ two members can sit in two ways.)

Q. If eleven members of a committee sit at a round table so that the President and Secretary always sit together, then the number of arrangements is

$10! \times 2$

$10!$

$9! \times 2$

$11! \times 2$

Since, out of eleven members, two members sit together, then the number of arrangements $= 9! \times 2$
( $∵$ two members can sit in two ways.)

Q. If eleven members of a committee sit at a round table so that the President and Secretary always sit together, then the number of arrangements is

10!×2

10!

9!×2

11!×2

Since, out of eleven members, two members sit together, then the number of arrangements =9!×2 (∵ two members can sit in two ways.)

$10! \times 2$

$10!$

$9! \times 2$

$11! \times 2$

Since, out of eleven members, two members sit together, then the number of arrangements $= 9! \times 2$
( $∵$ two members can sit in two ways.)