Answer:
Possible number of plans are 37.
Step-by-step explanation:
To find : How many possible plans are there?
Given : Assume that she has 3 possible destinations: New England, Utah, and Oregon.
There are 3 ski areas in New England with 2 available times for 2 of the areas, and 3 times for the other area.
Number of trips plan in New England is
2 available times for 2 of the areas = \(2\times 2=4\)
3 times for the other area = \(3\times 1=3\)
Total = 4+3=7
There are 4 ski areas in Utah with 4 available times for 3 of the areas, and 3 times for the other area.
Number of trips plan in Utah is
4 available times for 3 of the areas = \(4\times 3=12\)
3 times for the other area = \(3\times 1=3\)
Total = 12+3=15
There are 4 ski areas in Oregon with 4 available times for 3 of the areas, and 3 times for the other area.
Number of trips plan in Oregon is
4 available times for 3 of the areas = \(4\times 3=12\)
3 times for the other area = \(3\times 1=3\)
Total = 12+3=15
Total number of trip plans : 7+ 15 + 15 = 37
Therefore, possible number of plans are 37.
