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Quiz Midterm DCS 2243

Total questions: 20

Worksheet time: 24mins

Name
Class
Date
1.

What type of set is denoted as either { } or ∅?

a)

Superset

b)

Kaset

c)

Null Set

d)

No Set

2.

Find n(A) when A = {14, 16, 18, 20, 22, 24}.

a)

24

b)

14

c)

6

d)

Even Numbers

3.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A  BA\ \cup\ B 

a)

{3, 5, 7}

b)

{2, 3, 5, 7, 9}

c)

{2, 3, 5, 7}

d)

{1, 2, 3, 5, 7, 9}

4.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A  BA\ \cap\ B ?

a)

{3, 5, 7}

b)

{2, 3, 5, 7, 9}

c)

{2, 3, 5, 7}

d)

{1, 2, 3, 5, 7, 9}

5.

5) What of the meaning   n!n!  ?

a)

n angry

b)

n factorial

c)

n stop

d)

&

6.

A Mathematics test contains 5 different questions labeled A, B, C, D, and E. You are supposed to choose 2 questions to answer. How many different ways you can choose?

a)

5

b)

10

c)

15

d)

20

7.

A family of 3 plans to sit in the same row at a movie theater. How many ways can the family be seated in 3 seats?

a)

3

b)

9

c)

6

d)

1

8.

A group of 8 swimmers are swimming in a race. Prizes are given for first, second, and third place. How many different outcomes can there be?

a)

336

b)

56

c)

48

d)

3

9.

4 students need to be selected from a class of 15 to help clean up the campus. How many different ways can the 4 students be chosen?

a)

1

b)

4

c)

32760

d)

1365

10.

When ordering a pizza, you can choose 2 toppings from the following: mushrooms, olives, pepperoni, pineapple, and sausage. How many different types of pizza can you order?

a)

10

b)

1

c)

2

d)

5

11.

Any positive number that has power of zero is always become:

a)

0

b)

1

c)

anything

d)

something

12.

How many terms are the in the expansion of  (1+b)5\left(1+b\right)^5  

a)

1

b)

b

c)

5

d)

6

13.

Find the coefficient of the  x3x^3  in  (2x+1)12\left(2x+1\right)^{12} .

a)

 11260

b)

440

c)

440 x3x^3  

d)

1760

14.

Find the coefficient of the  x2x^2  term in (2x3)9\left(2x-3\right)^9  

a)

41472

b)

-314928

c)

41472 x2x^2  

d)

-314928 x^2  

15.

How many terms are the in the expansion of  (xy)4\left(x-y\right)^4  

a)

1

b)

x and y

c)

5

d)

6

16.

How many terms are the in the expansion of  (xy)\left(x-y\right)^{ }  

a)

1

b)

2

c)

x

d)

y

17.

Expand  (x7)2\left(x-7\right)^2  

a)

  x214x+49x^2-14x+49  

b)

 x214x+49-x^2-14x+49  

c)

 x2+14x49x^2+14x-49  

d)

 49x249x^2  

18.

Expand  (b2)3\left(b-2\right)^3  

a)

  b32b2+4b8b^3-2b^2+4b-8  

b)

 5b320b2+40b405b^3-20b^2+40b-40  

c)

 b36b2+12b8b^3-6b^2+12b-8  

d)

 b38b^3-8   

19.

Expand  (x100)0\left(x-100\right)^0  

a)

 x

b)

100

c)

x-100

d)

1

20.

Expand: \left(x+5\right)^5  

a)

 x^5+25x^4+250x^3+1250x^2+3125x+3125  

b)

 x^5+25x^4+250x^3+1250x^2+3125x  

c)

 x^5+25x^4+250x^3+1250x^2+3025x+3025  

d)

 x^5+25x^4+250x^3+1250x^2+3025x