four students have to give a speech in class today. In how many different orders can they give their speeches?

6 times

Step-by-step explanation:

The letters are just an example of names

J a p r

J a r p

J r p a

J r a p

J p a r

J p r a

There are 24 different orders in which they can give their speeches.

Step-by-step explanation:

Consider the provided information.

Four students have to give a speech in the class room.

Let their names are A, B, C and D.

For the first speech, we have 4 choices of the students. i. e. A, B, C, and D.

Suppose that "A" gives the first speech.

Now, for the second speech, we have 3 choices of the students. i. e. B, C, and D.

Suppose that "B" gives the second speech.

For the third speech, we have 2 choices of the students. i. e. C and D.

Suppose that "C" gives the third speech.

Now, for the fourth speech, we have only one choice. i. e. D.

If we observed the pattern we can find that, there were 4 choices at first, then there were 3 choices, then 2 and lastly 1.

Thus the total number of different orders are 4*3*2*1 = 24.

Hence, there are 24 different orders in which they can give their speeches.