16 students have registered for a summer sports camp. they are to be divided into either a swimming or a tennis activity, with no more than 1- students in either group. in how many ways could the group in the tennis activity be chosen?

The answer would be 435

16-1=15
15x2-1=29
15x29=435

In order to find the number of ways the group in the tennis activity can be chosen, we can use the concept of combinations.

The formula for combinations is given by:

C(n, r) = n! / (r!(n-r)!),

where n is the total number of students and r is the number of students chosen.

In this case, we want to find the number of ways to choose the group for the tennis activity, which means we need to choose only one student from the available 16.

Plugging in the values into the combinations formula, we have:

C(16, 1) = 16! / (1!(16-1)!)
= 16! / (1! * 15!)

The factorial notation, denoted by an exclamation mark (!), means to multiply all the positive integers up to that number.

Simplifying further:

C(16, 1) = 16 * 15! / (1! * 15!)

Now, we notice that the 15! terms in the numerator and the denominator cancel out:

C(16, 1) = 16

Therefore, there are 16 ways to choose the group for the tennis activity.

Uhhsjsjjsjaja