Since the club president and the club treasurer must be included, we need to choose the remaining 43 members from the other 48 members (50 total members minus the 2 already chosen).

The number of ways to choose 43 members from 48 is given by the combination formula:

\(\binom{48}{43} = \binom{48}{5}\)

Calculating \(\binom{48}{5}\):

\(\binom{48}{5} = \frac{48 \times 47 \times 46 \times 45 \times 44}{5 \times 4 \times 3 \times 2 \times 1} = 1,712,304\)

Therefore, there are 1,712,304 ways to choose the 45 members.