SOLUTION: Four factories are to be randomly selected from a list of eleven factories for a full health and safety inspection i.Calculate the number of ways that four factories can be sele

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Question 1138142: Four factories are to be randomly selected from a list of eleven factories for a full health and safety inspection
i.Calculate the number of ways that four factories can be selected.
ii.Two of the factories have the same owner. Calculate the probability that both of these factories with the same owner will be included in the inspection.

Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
i.Calculate the number of ways that four factories can be selected.

11C4 = 11%21%2F%284%21%2A7%21%29 = 330

ii.Two of the factories have the same owner. Calculate the probability that both of these factories with the same owner will be included in the inspection.

2/11 * 1/10 * 4C2 = %282%2F11%29+%2A+%281%2F10%29+%2A+%284%21%2F%282%21%2A2%21%29%29 = 6/55