There are 12 songs... 6 Classical, 4 Rock, 2 Pop. If you want to play all the songs how many different arrangements of songs can u make, if you want to play a rock song first and a pop song last.
2006-06-24 07:53:49 · 11 answers · asked by bz_co0l@rogers.com 3 in Science & Mathematics ➔ Mathematics
Rock song first...
1st song... 4 choices
12th song... 2 choices
for the 2nd to 11th songs, 10 songs you can choose from 3 left-over Rock songs, 6 classical, and 1 pop song...
2nd song ... 10 choices |
3rd song ... 9 choices |
4th.. 8 | 10!
..... |
... |
11th song 1 choice |
total ... 4 * 2 * 10! = 29,030,400
2006-06-24 08:07:55 · answer #1 · answered by ♥Tom♥ 6 · 3⤊ 1⤋
The first song can be 1 of 4 different songs (Rock songs), there you have 4 choices. The last song can be 1 of 2 different songs (Pop songs). So you totally now have 4 * 2 = 8 choices. Then you have 10 songs left, and you can play them in which order you'd like, that's 10! different permutations for the songs in the middle, totaling in 2 * 4 * 10! = 29,030,400 different choices.
2006-06-24 15:41:41 · answer #2 · answered by User1 2 · 0⤊ 0⤋
29,030,400
Pick the rock song first--you have four choices.
Next pick the pop song to play last--you have two choices.
For everything else in between, you have 10! possibilities.
So 4 x 2 x 10! = 29,030,400
2006-06-24 14:58:35 · answer #3 · answered by tdw 4 · 0⤊ 0⤋
make 12 lines on paper. first space has 4 choices, the rock songs. second, 3, then 2, then 1. The last spot has 1 choice. In between, it's 6x5x4x3x2x1. The whole thing looks like: 4x3x2x1x6x5x4x3x2x1x2x1, which yields 34560.
2006-06-24 15:52:19 · answer #4 · answered by melomane 4 · 0⤊ 0⤋
Its been years, so I may be in error.
How about 4 ways to pick the first song, 2 ways to pick the last song and, since we have used 2 songs, 10! ways to pick the remaining songs?
6*10!
2006-06-24 15:05:09 · answer #5 · answered by kindricko 7 · 0⤊ 0⤋
i hate classical songs
i wont play it
2006-06-24 14:57:05 · answer #6 · answered by Kunal 2 · 0⤊ 0⤋
To oicu812:
You shouldn't be tired, you are wrong! Actually, tdw, among others, got it right.
2006-06-24 16:51:19 · answer #7 · answered by Pavi 2 · 0⤊ 0⤋
479,001,600. Man I'm tired of being right!!!!!!!
2006-06-24 16:30:06 · answer #8 · answered by Soul rider 1 · 0⤊ 0⤋
sounds like you need to do YOUR homework...
2006-06-24 14:57:02 · answer #9 · answered by Anonymous · 0⤊ 0⤋
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THATS NOT ALL BUT MY BRAIN HURTS
2006-06-24 15:03:24 · answer #10 · answered by chocolate_chips 2 · 0⤊ 0⤋