Autograph problem

Question

One hundred one famous people attended an autograph signing convention. They all wanted each other’s autographs. If all of the people signed an autograph for everyone else at the convention. How many autographs were signed?

Answer 1

101 people

apply the handshake theorem

or lemma formula

n(n-1)

with n= 101

101(101-1)= 100(100) = 10,000 signed autographs

if they shook hands as they signed

there would have been 10,000 handshakes