Question

At summer camp, the campers pick two activities for the first day of camp. They can choose from among hiking, canoeing, rock climbing, and bird watching. How many different combinations of activities are there?

Answer 1

There are 6 different combinations of activities that the campers can choose for the first day of camp.

Step-by-step explanation:

To find the number of different combinations of activities, we can use the concept of combinations. Since the campers can choose two activities from a pool of four activities, we can use the formula for combinations to find the answer. The formula for combinations is nCr = n! / (r! * (n-r)!), where n is the total number of activities and r is the number of activities being chosen.

In this case, n = 4 (the total number of activities) and r = 2 (since the campers choose two activities). Plugging these values into the formula, we get:

nCr = 4! / (2! * (4-2)!) = 4! / (2! * 2!) = (4 * 3 * 2 * 1) / ((2 * 1) * (2 * 1)) = 24 / 4 = 6

So, there are 6 different combinations of activities that the campers can choose for the first day of camp.

Answer 2

There would be 4 activities to choose from.