Question: 2. Consider the following problem. Given a standard deck (52 cards, 4 suits of 13 cards each), how many ways can one draw a 5-card

2. Consider the following problem. Given a standard deck (52 cards, 4 suits of 13 cards each), how many ways can one draw a 5-card hand which contains at least one club? One student in the class, Jane presents the following solution. We note that #of 5-card hands with at least one club =#of 5-card hands - #of 5-card hands with no clubs =#of 5-card hands among 52 cards - #of 5-card hands among 39 cards 52 39 =2, 023, 203 . Meanwhile Leslie, another student in the class presents the following solution. #of 5-card hands with at least one club =#ways to draw 1 club card * #ways to draw 4 cards among the 51 remaining # (13) * ( ) =3, 248, 700

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