Final answer:
The total number of different jazz quartets that can be formed is 24.
Step-by-step explanation:
To find the number of different jazz quartets that can be formed, we can use the concept of permutations. In this case, we have 4 positions to fill - saxophone player, electric keyboard player, bass player, and drummer. We can assume that the order in which the positions are filled matters. So, for the first position, we have 4 choices (as there are 4 instruments to choose from), for the second position, we have 3 choices (as one instrument has already been chosen), for the third position, we have 2 choices, and for the last position, we have 1 choice. Therefore, the total number of different jazz quartets that can be formed is 4 x 3 x 2 x 1 = 24.