Sets & Counting

Problem: Out of 30 job applicants, 11 are female, 17 are college graduates, 7 are bilingual, 3 are female college graduates, 2 are bilingual woman, 6 are bilingual college graduates, and 2 are bilingual female college graduates. What is the number of women who are not college graduates but nevertheless are bilingual?

Probablity

P(8,5) = a. 5!/8! b. 8*7*6*5*4 c. 8*7*6*5 d. 8!/5!3!

Sets, Counting & Probability

Problem: Eight Horses are entered in a race. In how many ways can they cross the finish line if ties are not allowed?

Sets, Counting and Probability

A light Bulb manufacturer tests a light bulb by letting it burn until it burns out. The experiment consists of observing how long (in hours) the light bulb burns. Let E be the event "the bulb lasts less than 100 hours", F be the event "the bulb lasts less than 50 hours",and G be the event "the bulb lasts more than 120 hours." The event E' inersection F" is?

Sets, Counting & Probability

Problem: In a local election, there are eight candidates for five positions as judges on the Supreme Bench. The number of possibel outcomes of the election is: ?