Neutrino and antineutrino interactions with two muons in the final sta
te have been studied by the CCFR collaboration in the Fermilab Tevatro
n neutrino beam. The rate of neutrino- and antineutrino-induced prompt
same-sign dimuon production in steel was measured using a sample of 2
20 mu- mu- events and 15 mu+ mu+ events with P(mu) > 9 GeV/c, and ener
gies between 30 GeV and 600 GeV. After background subtraction, the pro
mpt rate of same-sign dimuon production is (0.53 +/- 0.24) x 10(-4) pe
r nu(mu) charged-current event and (0.52 +/- 0.33) x 10(-4) per nu(mu)
BAR charged-current event. After demanding P(nu)1 greater-than-or-equa
l-to 9 Gev/c, P(mu)2 greater-than-or-equal-to 5 GeV/c and 30 less-than
-or-equal-to E(nu) less-than-or-equal-to 600 GeV a sample of 5044 nu(m
u) 1062 nu(mu)BAR induced mu+/- mu+/- events are observed. The data su
pport the slow rescaling model of charm production with a value of m(c
) = 1.31 +/-.24 GeV/c2. The CKM matrix element V(cd)=.209+/-0.012 and
the nucleon strangeness content, eta(s)=.064(-0.0065)+0.0075 are measu
red with the strange sea x distribution found to be softer than its no
n-strange counterpart. The first measurements of the Q2 dependence of
the strange quark densities, xs(x), are also presented.