The office staff of XYZ Corporation presently consists of three bookkeepers, P, Q, R and 5 secretaries

S, T, U, V, W. The management is planning to open a new office in another city using 2 bookkeepers

and 3 secretaries of the present staff. To do so they plan to separate certain individuals who don‟t

function well together. The following guidelines were established to set up the new office:

(i) Bookkeepers P and R are constantly finding fault with one another and should not be sent

together to the new office as a team.

(ii) R and T function well alone but not as a team, they should be separated.

(iii) S and V have not been on speaking terms and shouldn‟t go together.

(iv) Since S and U have been competing for promotion they shouldn‟t be a team. 

If $R$ and $U$ are moved to the new office, how many combinations are possible?