  Monogamy is a non-classical property that restricts the sharability of
quantum correlation among the constituents of a multipartite quantum system.
Quantum correlations may satisfy or violate monogamy for quantum states. Here
we provide evidence that almost all pure quantum states of systems consisting
of a large number of subsystems are monogamous with respect to all quantum
correlation measures of both the entanglement-separability and the
information-theoretic paradigms, indicating that the volume of the monogamous
pure quantum states increases with an increasing number of parties.
Nonetheless, we identify important classes of pure states that remain
non-monogamous with respect to quantum discord and quantum work-deficit,
irrespective of the number of qubits. We find conditions for which a given
quantum correlation measure satisfies vis-\`a-vis violates monogamy.
