 This clinical study involves two groups of patients with advanced breast cancer. One group 23rds of all the patients will be taking tipifarnib in combination with another anticancer drug called letrozole, and the other group 13rd of all the patients will be taking letrozole plus a placebo an inactive substance given in the same form as a real drug. The assignment to one of these two groups will be by chance like flipping a coin. Unless the need arises, neither the patient nor the study staff will know whether the patient is receiving tipifarnib with the letrozole. Comparisons between the two groups will be made for patients who have achieve a confirmed Complete Response CR or Partial Response PR. The interval between the date of randomization and the earliest date of disease progression will also be assessed. The study will include evaluations of safety and tolerability. Patients should expect their participation in this trial to last a minimum of 4 to 8 weeks. Their participation could continue for several months or beyond a year, depending on how their disease responds to the treatment. After completing study treatment, patients will be asked to attend for an End of Treatment visit and then a posttreatment Follow-up visit 4 to 6 weeks after stopping the medication. Patients will be randomly assigned to treatment with either 2.5 mg letrozole once daily plus placebo to match tipifarnib twice daily, or 2.5 mg letrozole once daily plus 300 mg tipifarnib twice daily. Both tipifranib and matching placebo will be given in 28-day cycles of 21 days of treatment followed by 7 days rest. All patients will receive continuous treatment with letrozole. 