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).