(a) in how many di erent ways can twelve people be seated at two
round tables with six people at each table, if two seatings are
considered to be di erent exactly when some person has a different
person seated to his or her right in the two seatings? give your
answer as an integer in ordinary decimal notation.
(b) generalize part (a) to determine a formula (involving standard
counting functions) in the variable n for the number of di erent
ways in which 6n people can be seated at n round tables, with six
people at each table and the same notion of \di erent" as in part
(a).

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)

answer: do we write it

step-by-step explanation:

answer: on kudzu, being female and being green are independent events.

step-by-step explanation: