there are 11 people in an office with 6 different phone lines. if all the lines begin to ring at once, how many groups of 6 people can answer these lines?

T_11

Expect_6 phones

This is a permutation problem

Therefore 11p6= 11!/(11-6)! = (5!*6*7*8*9*10*11)/5! = 6*7*8*9*10*11 (ANSWER)

one group

Step-by-step explanation:

there is only one group of six people in the office since the office only has 11 people.

f

step-by-step explanation:

f

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2