For the student who had 2,234 songs in her iTunes, she can make this many playlists (the cardinality of the power set)
316,964,273,269,887,847,256,961,568,406,624,827,706,400,987,219,737,
360,413,767,547,103,279,785,711,166,364,144,100,203,694,878,806,733,
579,243,322,029,353,679,451,275,173,799,501,320,666,325,552,694,180,
395,764,969,797,308,153,065,513,796,994,386,064,235,128,852,480,045,
275,029,374,656,704,072,602,653,431,612,564,995,486,186,177,920,435,
368,185,524,286,756,728,449,872,732,893,028,983,673,694,382,141,904,
799,788,054,406,668,302,812,096,922,629,448,861,305,410,199,055,289,
199,226,539,498,414,522,334,432,3676,240,989,334,566,188,877,100,589,
712,091,067,986,359,104,805,179,589,766,561,256,266,332,739,433,720,
620,000,941,313,568,438,544,492,426,552,962,246,082,601,033,488,306,
274,662,478,605,315,581,813,747,800,850,655,958,887,457,659,613,312,
976,936,718,123,537,835,339,655,713,109,106,737,455,779,995,787,018,
429,013,379,602,343,244,239,567,695,291,561,656,064,422,557,290,357,
728,477,184
This is a 674 digit number.