Question

Helena has five different flowers. She plans to give one flower to each of her five teachers in any order. She gives the first flower to one of her teachers in the morning.

In how many different ways can she give the four remaining flowers to the rest of the teachers in the afternoon?

1 combination
4 combinations
21 combinations
24 combinations

Answer 1

To determine how many different ways Helena can give the remaining four flowers to her four remaining teachers in the afternoon, we can think about how many choices she has for each teacher.

After giving one flower to one teacher in the morning, there are four flowers left and four teachers left to receive them.

1. For the first flower (from the four remaining), she has 4 choices of teachers.
2. For the second flower, there are 3 choices left (since one teacher has already received a flower).
3. For the third flower, there are 2 choices left.
4. Finally, for the fourth flower, there is only 1 choice left.

This can be calculated as:

\[
4 \times 3 \times 2 \times 1 = 24
\]

Therefore, the total number of different ways Helena can give the remaining flowers to her teachers in the afternoon is **24** combinations.

So the answer is:
**24 combinations**.