# help with home work

In a recent survey of 100 women, the following information was gathered.

42 use shampoo A.

54 use shampoo B.

30 use shampoo C.

12 use shampoos A and B.

20 use shampoos A and C.

5 use shampoos B and C.

4 use all three.

54 use shampoo B.

30 use shampoo C.

12 use shampoos A and B.

20 use shampoos A and C.

5 use shampoos B and C.

4 use all three.

Use the figure to answer the question in the problem.

How many are using shampoo A only (Region I)?

1[removed][removed][removed] women

4.

Question Part |

Points |

1 |

–/0.36 |

Total |

–/0.36 |

A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results are below. How many are not using any of the three?

33 said they drove alone.

31 rode in a carpool.

31 rode public transportation.

5 used both carpools and public transportation.

8 used both a carpool and sometimes their own cars.

6 used buses as well as their own cars.

4 used all three methods.

31 rode in a carpool.

31 rode public transportation.

5 used both carpools and public transportation.

8 used both a carpool and sometimes their own cars.

6 used buses as well as their own cars.

4 used all three methods.

1[removed][removed][removed]students

5.

Question Part |

Points |

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |

–/0.36 | –/0.36 | –/0.36 | –/0.36 | –/0.36 | –/0.36 | –/0.36 | –/0.36 |

Total |

–/2.88 |

Give the numbers of elements in the regions marked I, II, III, IV, V, VI, VII, VIII in the figure.

|U| =

230, |A| =

30, |B| =

12, |C| =

20 |A∩B| =

2, |A∩C| =

3, |B∩C| =

3, |A∩B∩C| =

1

| I | | = | 1[removed][removed][removed] |

| II | | = | 2[removed][removed][removed] |

| III | | = | 3[removed][removed][removed] |

| IV | | = | 4[removed][removed][removed] |

| V | | = | 5[removed][removed][removed] |

| VI | | = | 6[removed][removed][removed] |

| VII | | = | 7[removed][removed][removed] |

| VIII | | = | 8[removed][removed][removed] |

6. Evaluate the expression.

[removed](11/4)(6/5)(3/1)

7.A club consists of 16 men and 19 women. In how many ways can they choose a president, vice president, treasurer, and secretary, along with an advisory committee of six people? (Round the answer to five decimal places.)

1

[removed][removed]

10

1

[removed][removed]

10

^{11}ways
8.