1- Find
2- Find
3- Find .
4- Let and be subsets of a set such that and Find .
5- Let and be subsets of a set such that . What is the largest possible value for ? Is there a largest value for ?
6- Evaluate .
7- How many groups of students can be chosen from a class of students? How many committees consisting of 1 president, 1 vice president and 2 members can be chosen from a class of students?
150 people in a sporting goods store filled out a questionnaire. These are the results:
9- How many went swimming?
10- How many did not do any of these activities?
11 - Evaluate .
An Urn contains 18 numbered balls. 10 are white and 8 are red.
12- In how many ways can a sample of 6 balls be drawn from the Urn?
13- How many samples contain 3 red and 3 white balls?
14- How many samples contain at least one red ball?
15- An I.D. code consists of 3 numerals followed by 4 letters. How many code numbers ae there, if the letters are distinct, but the numbers can repeat themselves? (i.e. 112face) If the letters and numbers can repeat?