If one sample of dna was cut with bamhi and another with bcli, and these two samples were mixed and treated with dna ligase, what would occur?

If one sample of DNA was cut with BamHI and another with BclI, and these two samples were mixed and treated with DNA ligase, this would most probably occur:
Both BamHI-cut and BclI-cut DNAs would be ligated with no preference for which fragment is ligated to which other.

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