Question

discrete mathematics

1. How many element are in A1 È A2 if there are 12 elements A1, 18 elements in A2 and

a) A1 Ç A2 =Æ?

b) | A1 Ç A2 | =1?

c) | A1 Ç A2 | =6?

d) A1 Í A2?

2. There are 345 students at a college who have taken a course in calculus, 212 who have taken a course in discrete mathematics and 188 who have taken courses in both calculus and discrete mathematics. How many students take a course in either calculus or discrete mathematics?

3. A marketing report concerning personal computers states that 650,000 owners will buy modem (DSL let’s make it fast) for their machines next year and 1,250,000 will buy at least one software package. If the report states that 1,450,000 owners will buy either a modem or at least one software package, how many will buy both a modem and at least one software package?

4. In a survey of 270 college students it is found that 64 like Brussels sprouts, 94 like broccoli, 58 like cauliflower, 26 like both Brussels sprouts and broccoli, 28 like both Brussels sprouts and cauliflower, 22 like both broccoli and cauliflower, and 14 like all three vegetables. How many of the 270 students do not like any of these vegetables?

5. List all the permutations of {a,b,c}.

6. How many different permutations are there of the set {a,b,c,d,e,f,g}?

7. Find the value of each of these quantities.

[1] P (6,3)

[2] P (8,1)

[3] P (8,8)

8. Find the number of 5-permutations of a set with nine elements.

Answer 1

According to the rules only one question will be answered. But I tried my level best.