(a) Mary plans to buy a dozen plain bagels with the intention of eating them on
ID: 2964007 • Letter: #
Question
(a) Mary plans to buy a dozen plain bagels with the intention of eating them on the five weekdays of a particular week(Monday through Friday). In how many different ways can she distribute the bagels among the five days?
(b) Same question as the previous part, but assume she eats at least one bagel per day.
(c) In another week, Mary buys five different types of bagels with the intention of eating one per day on the five weekdays. In how many different orders can she consme the bagels?
Correct answers: a)1820 b) 330 c) 120
Explanation / Answer
a/
(12+5-1)C(5-1) = 16C4 = 1820
b/
first distribute 1 bagel each for the 5 days, then apply the formula
11C4 = 330
c/
5 choices on 1st day, 4 choices for 2nd day & so on
5! = 120
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