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

answer: hey improve the marine life in a certain area.

they provide a new location for fishermen to fish and which works to ease the pressure on natural reefs.

they are a great way to get rid of large objects that would otherwise be placed on landfills

explanation:

q1: artillery

q2: simon bolivar

q3:   their workers and farmers demanded a return to spanish rule.

q4: drafted new constitutions

q5: oligarchies have replaced monarchies