A penny collection contains twelve 1967 pennies, seven 1868 pennies and eleven 1971 pennies. If you are to pick some pennies without looking at the dates, how many must you pick to be sure of getting at least five pennies from the same year. Show work.

Answer:You must pick at least 13 pennies to be sure of getting at least five from the same year.Step-by-step explanation:You have:12 1967 pennies7 1868 pennies11 1971 pennies.how many must you pick to be sure of getting at least five pennies from the same year?This value is the multiplication of the number of different pennies by the antecessor of the number of pennies you want, added by 1.SoYou have 3 differennt penniesYou want to get at least five from the same year.[tex]3*4 + 1 = 13[/tex]You must pick at least 13 pennies to be sure of getting at least five from the same year.For example, if you pick 12 pennies, you can have four from each year.Adding three values, 13 is the smallest number that you need at least one term of the addition being equal or bigger than 5.