Agroup of n ? 4 people stand in line to purchase movie tickets. assume that there are r ? 2 men and s ? 2 women, such that r + s = n. you should not assume that the men and women are indistinguishable from each other.
a) how many possible lines are there such that, starting from the front of the line, there are exactly three points where the line alternates from man to woman, or woman to man? for example, if n = 6, r= 4, s = 2, then one line arrangement that should be counted is (man 1, man 2, woman 1, man 3, man 4, woman 2). note that there are exactly three points of alteration- between man 2 and woman 1, woman 1 and man 3, and man 4 and woman 2
b) solve the above problem with the added condition that man 2 must be the second man in line, woman 2 must be the second woman in line, or both

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

7/2

(decimal: 3.5)

welcome ; )

step-by-step explanation:

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation:

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.