Agroup of 10 people need to form a line. the line will consist of exactly 8 of the people. person x and person y have to be either fifth or sixth in line. how many different orders are possible?

N = 40,320

Step-by-step explanation:

To arrange 10 people to a line of 8 people.

The number of ways is n = 10P8.

But since the condition given states that 2 people must stay in two particular slots.

The number of possible arrangements becomes;

N = number of ways of arranging the remaining people × number of ways of arranging the other 2.

N = 8P6 × 2P2

N = 8!/2! × 2!

N = 20,160 × 2

N = 40,320 ways

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

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step-by-step explanation:

i used the pitagoras theoreme