1. Find the number of ways the letters of the words FURTHER can be permuted.
2. Five different objects are spaced out evenly round a circle. In how many ways can they be arranged?
3. Seven students were late to a class. In how many ways can they occupy?
a. Three available vacant seats
b. Nine available vacant seats.
4. Find the number of times the word LAGOS can be permuted.
5. Find the number of ways the word MATHEMATICS can be permuted.

step-by-step explanation:

once you graph it hit 2nd (the blue button) and graph

that takes you to a table of coordinates

on the left is x coordinates and on the right is y coordinates and an empty box

(you may have to scroll up/down in order to get ( x, 0)

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.