Assume that the camper has 3 jackets, 7 sleeping
bags, and 9 different packages of food. An outfit consists of
1 jacket, 1 sleeping bag, and 6 packets of food.
How many ways can the trip be outfitted?
number of ways
= 3(7) C(9,6)
= 21(84) = 1764
To find the number of ways the trip can be outfitted, we need to calculate the total number of combinations of jackets, sleeping bags, and food packages.
- We have 3 jackets to choose from. This means we have 3 choices for the jacket component of the outfit.
- We have 7 sleeping bags to choose from. This means we have 7 choices for the sleeping bag component of the outfit.
- We have 9 food packages to choose from. This means we have 9 choices for the food component of the outfit.
To find the total number of combinations, we multiply the number of choices for each component together:
Total combinations = number of jacket choices * number of sleeping bag choices * number of food choices
Total combinations = 3 jackets * 7 sleeping bags * 9 food packages
Total combinations = 189
Therefore, there are 189 ways the trip can be outfitted.