A teacher asked each student of a class to write down the number of classmates with the same
surname as his, as well as the number of classmates whose birthday is the same as his.
Among the answers received, each of the numbers 0, 1, 2, ..., 10 has appeared. Find the
minimum number of students in the class.
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a =0
d = a2-a1
d =1-0
d = 1
an = 10
an =a +(n-1)d
10 = 0+(n-1) 1
10 - 0= (n-1) 1
10÷1 = (n-1)
10=(n-1)
10 + 1= n
n = 11
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