Question

The number of times in which the composition of team T2 and the number of times in which composition of team T4 remainded unchanged in two successive months are:

• A. (2, 1)
• B. (1, 0)
• C. (0, 0)
• D. (1, 1)

Answer 1

The correct option is B

(1, 0)

Refer to the tables given as below:
$\begin{array}{ccc}Compositioninfirstmonth& SE& RE\\ T1& 4& 1\\ T2& 3& 1\\ T3& 2& 2\\ T4& 1& 3\\ T5& 0& 4\end{array}$

$\begin{array}{ccc}Compositioninsecondmonth& SE& RE\\ T1& 1& 3\\ T2& 4& 1\\ T3& 2& 2\\ T4& 2& 2\\ T5& 1& 3\end{array}$

$\begin{array}{ccc}Compositioninthirdmonth& SE& RE\\ T1& 0& 4\\ T2& 1& 3\\ T3& 4& 1\\ T4& 3& 1\\ T5& 2& 2\end{array}$

$\begin{array}{ccc}Compositioninfourthmonth& SE& RE\\ T1& 0& 4\\ T2& 1& 3\\ T3& 2& 2\\ T4& 5& 0\\ T5& 2& 2\end{array}$

$\begin{array}{ccc}Compositioninfifthmonth& SE& RE\\ T1& 0& 4\\ T2& 0& 4\\ T3& 2& 2\\ T4& 4& 0\\ T5& 4& 1\end{array}$
As is clear from the table, T2 remains unchanged for just 1 time between 3rd and 4th month and there are no two successive months where T4 remains unchanged, hence zero number of times. Thus the final answer for (T2,T4) is (1,0).