A club consisting of 6 juniors and 8 seniors is to be formed from a group of 13 juniors and 16 seniors. How many different clubs can be formed from the group?

22,084,920 different clubs can be formed from the group

Step-by-step explanation:

The order in which the students are chosen to the club is not important. So we use the combinations formula to solve this question.

Combinations formula:

is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this question:

6 juniors, from a set of 13.

8 seniors, from a set of 16.

So

22,084,920 different clubs can be formed from the group

what shape is

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this