A lottery game requires that you pick 88 different numbers from 1 to 82. If you pick all 8 winning numbers, you win the jackpot. If you pick 7 of the 8 numbers correctly, you win $200,000. In how many ways can you pick exactly 7 of the 8 winning numbers without regard to order?

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: