11.3.35
question
to win at lotto in one state, one must correctly select 5 numbers from a collection of 45 numbers (1 through 45). the order in which the selection is made does not
matter. how many different selections are possible?
there are
different lotto selections

The different selections possible are 12,21,759.

Step-by-step explanation:

Given:

Number of different numbers available, ( 1 to 45)

Number of numbers to select,

Here, order of selection is not important. So, when the order is not important or it doesn't matter how we select objects, then we use combinations formula.

Number of ways of selecting 'r' distinct objects from a collection of 'n' different objects is given as:

Here, 'n' = 45, 'r' = 5. Therefore,

Therefore, the different selections possible are 12,21,759.

it would be:

c.parallelogram.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47