The Collaborative International Dictionary of English v.0.48:

Disposal \Dis*pos"al\, n. [From Dispose.]
   1. The act of disposing, or disposing of, anything;
      arrangement; orderly distribution; a putting in order; as,
      the disposal of the troops in two lines.
      [1913 Webster]

   2. Ordering; regulation; adjustment; management; government;
      direction.
      [1913 Webster]

            The execution leave to high disposal. --Milton.
      [1913 Webster]

   3. Regulation of the fate, condition, application, etc., of
      anything; the transference of anything into new hands, a
      new place, condition, etc.; alienation, or parting; as, a
      disposal of property.
      [1913 Webster]

            A domestic affair of great importance, which is no
            less than the disposal of my sister Jenny for life.
                                                  --Tatler.
      [1913 Webster]

   4. Power or authority to dispose of, determine the condition
      of, control, etc., especially in the phrase at, or in, the
      disposal of.
      [1913 Webster]

            The sole and absolute disposal of him an his
            concerns.                             --South.

   Syn: Disposition; dispensation; management; conduct;
        government; distribution; arrangement; regulation;
        control.
        [1913 Webster]

WordNet (r) 3.0 (2006):

disposal
    n 1: the power to use something or someone; "used all the
         resources at his disposal"
    2: a method of tending to or managing the affairs of a some
       group of people (especially the group's business affairs)
       [syn: administration, disposal]
    3: the act or means of getting rid of something [syn:
       disposal, disposition]
    4: a kitchen appliance for disposing of garbage [syn:
       disposal, electric pig, garbage disposal]

Moby Thesaurus II by Grady Ward, 1.0:

146 Moby Thesaurus words for "disposal":
   abalienation, abandonment, abjuration, administration, alienation,
   allocation, allotment, amortization, amortizement, apportionment,
   arrangement, array, arraying, assignation, assignment,
   bargain and sale, barter, bequeathal, castaway, castoff, cession,
   chucking, clearance, collation, collocation, command function,
   concord, conferment, conferral, consignation, consignment,
   constitution, conveyance, conveyancing, decision-making, deeding,
   deep six, deliverance, delivery, demise, demolishing, demolition,
   deployment, deportation, destroying, destruction, detachment,
   disbursal, disbursement, discard, discarding, disjunction,
   dispensation, dispersion, disposition, distribution, dole, doling,
   doling out, dumping, ejection, elimination, enfeoffment,
   eradication, exchange, executive function, exile, expatriation,
   expulsion, forgoing, form, formation, formulation, forswearing,
   getting rid of, giving, giving out, giving up, harmony, issuance,
   jettison, junking, layout, lease and release, letting go, lineup,
   liquidation, marshaling, officiation, order, ordering,
   organization, ostracism, outlawing, outlawry, passing around,
   paying out, peace, placement, proportion, purge, quiet, quietude,
   recantation, refuse, regimentation, regularity, reject,
   rejectamenta, rejection, release, relegation, relinquishment,
   removal, renunciation, resignation, retraction, riddance, routine,
   sacrifice, sale, scrapping, sequence, settlement, settling, setup,
   severance, structure, structuring, surrender, suspension,
   swearing off, symmetry, syntax, system, throwaway, trading,
   tranquillity, transfer, transference, transmission, transmittal,
   uniformity, vesting, withdrawal, yielding