DJ Jacqueline is making a playlist for an internet radio show; she is trying to decide what 6 songs to play and in what order they should be played. If she has her choices narrowed down to 7 hip-hop, 14 pop, and 22 blues songs, and she wants to play an equal number of hip-hop, pop, and blues songs, how many different playlists are possible

Probability of selecting two songs from each category

= (22C2)*(14C2)*(7C2)*6!

Step-by-step explanation:

The total songs in the playlist will be 6

Two songs from each playlist

Number of ways of selecting playlist

= N(select 2 from each category and then arrange the selected 6)

Probability of selecting two songs from each category

= (22C2)*(14C2)*(7C2)*6!

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The answer is in the image 

The answer is in the image 

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

The solution is in the following image

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

The answer is in the image