A camper has 3 jackets, 6 sleeping bags, and 14 different packages of food. An "outfit" consists of 1 jacket, 1 sleeping bag, and 7 packets of food. How many different outfits are there?

since order does not matter here, we are dealing with combinations rather than permutations.

No. of outfits C(3,1)xC(6,1)xC(14,7)
= 3x6x3432 = 61776

To find the number of different outfits, you need to multiply the number of choices for each category together.

In this case, you have 3 choices for jackets, 6 choices for sleeping bags, and 14 choices for food packages.

So, the total number of different outfits is computed as follows:

3 (choices for jackets) × 6 (choices for sleeping bags) × 14 (choices for food packages) = 3 × 6 × 14 = 252 different outfits.

Therefore, there are 252 different outfits.