Question

Draw the linear arrangement: When F dances third, then G dances seventh.

Answer 1

To draw the linear arrangement, place F in the third position and G in the seventh position, leaving the remaining positions unfilled.

Step-by-step explanation:

To draw the linear arrangement based on the given information, we can start by creating a line with 7 positions representing the dancers.

We know that F dances third, so we can place F in the third position.

Then, we are told that G dances seventh, so we can place G in the seventh position. The linear arrangement would look like this:

1 - 2 - F - 4 - 5 - 6 - G

Note that the positions that are not specified can be filled by any other dancers.

Answer 2

The linear arrangement based on the given conditions is: F in the third position and G in the seventh position.

Step-by-step explanation:

In a linear arrangement problem, we're determining the position of elements based on given conditions. Here, we're told that F dances third and G dances seventh. To establish the arrangement, let's begin with the condition that F is in the third position. Using this, we can construct a basic sequence.

Let's assume an arbitrary starting point: _ _ F _ _ _ _ . According to the first condition, F occupies the third position. Now, incorporating the second condition that G dances seventh, we place G accordingly: _ _ F _ _ _ G. This sequence complies with both conditions: F in the third and G in the seventh position.

To ensure the accuracy of the arrangement, we can count the positions between F and G. As per the sequence, there are three positions between F and G: F _ _ _ _ _ G. This validates the arrangement, affirming that F is third and G is seventh in the linear arrangement.

Hence, based on the provided conditions, the final linear arrangement stands with F in the third position and G in the seventh position, maintaining the stipulated conditions within the sequence.