At a benefit concert, eleven bands have volunteered to perform but there is only enough time for eight of the bands to play. How many lineups are possible?

The correct answer is

Step-by-step explanation:

At a benefit concert, eleven bands have volunteered to perform.

There is only enough time for eight of the bands to play.

We need to find how many lineups are possible.

We would need to choose 8 bands out of 11 and their arrangements should be unique. Also that no band can perform twice.

There fore the number of possible line ups are = 165 ways.

Therefore 8 bands out of the 11 can lineup in 165 different ways and perform at the benefit concert.

(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

step-by-step explanation: