Supercoiled bluescript plasmid dna of electrocompetent cells

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Supercoiled bluescript plasmid dna of electrocompetent cells

1 µl containing 1 ng of supercoiled Bluescript plasmid DNA was mixed with 50 µl of electrocompetent cells. The cells were electroporated and 500 µl of SOC media was immediately added and the cells were incubated at 37 C for 1 hour to allow them to recover. From this total volume of 551 µl, 25 µl of the cells and media were plated on LB ampicillin plates with IPTG and X-gal. The next day the number of colonies was counted as 858. If you had mixed 1 µg of supercoiled Bluescript plasmid with the cells and plated them all, how many colonies would you expect to get? I just have no idea. Please explain the steps so I understand.