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?

We are asked to find the number of combinations in which the 4 remaining flowers can be given to 4 flowers.

When she gives the next teacher a flower, there are 4 options. Next, there will only be 3 options since one flower was given away. Next there will be 2 options, and finally there will only be 1 flower left.

This means that there are:

4! = 4 * 3 * 2 * 1 = 24 ways to give the remaining flowers.

The answer is 24.

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

the value of x is equal to 0.

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since the cosine is the ratio of the adjacent side to the hypotenuse, you can see that cos 60° = ½. answer. according to the property of cofunctions (topic 3), sin 30° is equal to cos 60°. sin 30° = ½.