…courtesy of Dave Rochberg:
THOSE LIARS. They say “240 songs. A million different ways.”
But they clearly mean “240 songs, 40678853636470581204935759214868853
10172051259182827146069755969081486918925585104009100729728
52292382089024587009865914715605190573256314738159909845924475348
246302768811570537170462828632662123845654330726760861254
3777966913875945176039596821742361795433073703416459649696398651683
817722252221059768080852489940995605579171999666916004042
3896799800598079985264195119506681577622056215044851618236292196529
36960000000000000000000000000000000000000000000000000000000000
different ways.” Although it could be that their PRNG is entropy limited.
I think what Apple meant is that with 240 songs, playing them a million different ways takes about 2,200 years, and even granting a couple of millennia to account for Futurama-style life prolongation, that’s more than most customers are likely to get out of the device before they kick the oxygen habit. So the “million different ways” is really a nod of recognition toward human fragility.
At least that’s the way I figure it.