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chrissak8118
25.03.2021 •
Mathematics
trying to decide what 10 songs to play and in what order they should be played If he has his choices narrowed down to 6 hip-hop, 4 pop, 3 reggae, and 8 blues songs, and he wants to play no more than 2 pop songs, how many different playlists are possible
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Ответ:
262548
Step-by-step explanation:
Given that :
Hip-hop =6
Pop = 4
Reggae = 3
Blues = 8
Total number of songs :
Total Pop songs = 4
Others = 6 + 3 + 8 = 17
To have no more Than 2 pop songs :
Pop songs = 0 ; others = 10
17C10 * 4C0 = 19448 * 1 = 19448
Pop songs = 1 ; others = 9
17C9 * 4C1 = 24310 * 4 = 97240
Pop songs = 2 ; others = 8
17C8 * 4C2 = 24310 * 6 = 145860
Total number of ways :
(19448 + 97240 + 145860) = 262548
Ответ:
For this case we have that by definition, a rational exponent is an exponent that can be expressed as
, where a and b are integers and n is nonzero.
The exponent
indicates the "a" root.![x ^ {\frac {1} {a}} = \sqrt [a] {x}](/tpl/images/0387/8127/a3197.png)
We have the following expression:
Different signs are subtracted and the sign of the major is placed:
Applying the property: