An auto insurance company has 10,000 policyholders. Each policy is defined as: young or old male or female; and married or single. Of these policyholders, 3000 are young, 4600 are male, and 7000 are married. The policyholders can also be classified as 1320 young males, 3010 married males, and 1400 young married persons. Finally, 600 of the policyholders are young married males. How many of the company's policyholders are young, female, and single?

Answer:880Step-by-step explanation:This problem a bit annoying, but let's classify the numbers and see where we can get from there:Total = 10,000Young = 3,000Old = 7,000 (not young defined as 10,000 - 3,000)Male = 4,600Female = 5,400Married = 7,000Single = 3,000Young Males = 1,320Young Females = 3,000 (young) - 1,320  = 1,680Married Males = 3,010 Married Females = 7,000 - 3,010 = 2,990Young Married = 1,400Young Married Males = 600Young Married Females = 1,400 - 600 = 800Young Female Single = ?Young Female = 1,680 from above.  But not all of them are single.Young Married Females = 800 from aboveYoung Female Single = Young Female - Young Married Females = 1,680 - 800 = 880