Harshgmat wrote:

The members of a company’s board of directors must select a subcommittee to decide the compensation level for a new Chief Executive Officer. The by-laws of the board state that no more than half of the members of the board can serve on this subcommittee. Is the number of combinations of board members that can be selected to serve on the subcommittee greater than 900?

(1) The board decides to select 6 members for the subcommittee.

(2) There are 12 members of the board.

Hi,

I think the answer should be B.

Let's take each option and solve the question:

Given Info: no more than half of the members of the board can serve on this subcommittee.

So from option A, we don't know the total number of members in the original committee.

For eg: If the total number of members in the committee is 12 than the condition total number of combinations will be 12C6<900 but if total number of members in the committee is 15 than the total number of combinations will be 15C6>900(here 6 is < half of 15).

Hence option A does not give the answer.

Now, let's take option B,

we are given the initial total number of members in the board committee and we select the maximum number of members for subcommittee i.e. 12/2=6 then the total number of combinations will be 12C6<900. hence this option is sufficient to give the answer.

Hence answer should be option B.

Kindly let me know where I am going wrong.

Thanks in advance.

Hit the kudos if I am right.