An environmental agency is analyzing water samples from 78 lakes for pollution. six of the lakes have dangerously high levels of dioxin. six of the lakes are randomly selected from the sample. using technology, how many ways could one polluted lake and five non-polluted lakes be chosen?

so there are 937433448 different ways to select polluted lake and 5 for non polluted lakes

Explanation:

we will use here fundamental counting principle

and formula for combination are

    ...........................1

here n! = n ( n -1 ) . . . . . . . . . . . . . 3 . 2 . 1

so

here 78 lakes of which 6 are polluted so 78 - 6 = 72 are not polluted

so

we need select 1 of the 6 polluted

=

= 6

and

now we need to select 6 of 72 non polluted lakes

=

= 156,238,908

so

polluted lakes = 6 ways

ans non polluted lakes = 156,238,908 ways

so

fundamental counting principle

6 × 156,238,908 = 937433448

so there are 937433448 different ways to select polluted lake and 5 for non polluted lakes

the answer would be a)henry grady because he came up with the term "new south"

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japanese feudalism. the era of feudalism in japan took place from the 12th through 19th centuries. during that period local rulers, either powerful families or military warlords, dominated the land, while the emperor was merely a figurehead and not a significant political presence.