Question

A surgical procedure requires choosing among 4 alternative methodologies. The first can result in 6 possible outcomes, the second in 5 possible outcomes, and the remaining methodologies can each result in 3 possible outcomes. What is the total number of outcomes possible?

Answer 1

There are total 17 different outcomes possible of the surgical procedure.

Explanation:

A surgical procedure is to be performed.

The procedure can be performed by selecting 4 alternative methodologies.

Each of these 4 alternative methodologies have various outcomes.

The first methodology can result in 6 different outcomes.

The second methodology can result in 5 different outcomes.

The third methodology can result in 3 different outcomes.

The fourth methodology can result in 3 different outcomes.

The total number of outcomes of the surgical procedure is:

Total number of outcomes =
`\sum\limits^(4)_(x=1)(Outcomes\ of\ methodology\ x)`

= 6 + 5 + 3 + 3

= 17

Thus, there are total 17 different outcomes possible of the surgical procedure.