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How many 6 digitnumbers are there if the first digit can't be a 0 or 1 and no digit can be repeated? xC5= xC 29x=____________

How many 6 digitnumbers are there if the first digit can't be a 0 or 1 and no digit can be repeated?

xC5= xC 29x=____________ or C(x,5)=C(x,29)

A restaurant offers three choices of soup (chicken noodle ,vegetable, or tomato), five choices of entre (beef, chicken, ham, liver or fish), four choices of vegetable (potato, broccoli, peas, or spinach) and three choices of dessert (pie, cake, or ice cream.)

If you must select exactly one item in each category how many different complete meals could you order in the following situations?

You won't eat ice cream or broccoli_______________

You must avoid liver and peas in the same meal.________________

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