A drawer contains a mixture of red and blue socks, at most 17 in all. It so happens that when two socks are selected randomly without replacement, there is a probability of exactly 1/2 that both are red or both are blue. The largest possible number of red socks in the drawer that is consistent with this data is |

A drawer contains a mixture of red and blue socks, at most 17 in all. It so happens that when two socks are selected randomly without replacement, there is a probability of exactly 1/2 that both are red or both are blue. The largest possible number of red socks in the drawer that is consistent with this data is |

1 Answer

127 votes

Let there be red socks and blue socks. Let Then, Since As must be an integer Solving, we get |

127 votes

127