Dj ali is making a playlist for a friend; she is trying to decide what 9 songs to play and in what order they should be played. if she has her choices narrowed down to 16 blues, 23 country, and 15 jazz songs, and she wants to play an equal number of blues, country, and jazz songs, how many different playlists are possible? express your answer in scientific notation rounding to the hundredths place.

1.637 x 10¹⁴ different playlists

Step-by-step explanation:

Since DJ Ali needs to choose 9 songs and wishes that the number of blues, country and jazz songs are the same, she needs to pick 3 songs of each type. The total number of ways she can choose the songs, without considering their order is:

The number of possible ways of ordering those nine song is:

There are 1.637 x 10¹⁴ different possible playlist.

maybe showing the graph would

step-by-step explanation:

-387129 iq

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204