Sheldon Pikyeeter has peculiar eating habits. For dinner, he always eats spaghetti 3 times per week,...

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Sheldon Pikyeeter has peculiar eating habits. For dinner, healways eats spaghetti 3 times per week, cheese pizza twice a week,Thai chicken one time per week, and tacos once a week. Note: forall questions below, consider each week as starting on Sunday andending Saturday!
a) For a particular week, Sheldon is going to list all thepossible different dinner plans. (Sunday through Saturday). Howmany weekly dinner plans are on Sheldon’s list?
b) What is the probability that a weekly dinner plan hasspaghetti on Monday and pizza on Friday?
c) What is the probability that a weekly dinner plan has taconight before all of the spaghetti nights?
d) What is the probability that all of the spaghetti nights areon consecutive nights in a week?
e) What is the probability that none of the spaghetti dinnersare on consecutive nights?

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Answer a Number of ways of eating spaghetti in a week 3 Number of ways of eating Cheese pizza in a week 2 Number of ways of eating Thai chicken in a week 1 Number of ways of eating tacos in a week 1 So total number of ways starting from sunday 7 x 6 x 5 x4 x3 x 2x1 5040 plans Answer b probability that a weekly dinner See Answer

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