Combinations Quiz 1

7 Questions | By Dana Deuitch | Updated: Sep 30, 2015 | Attempts: 192

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1. How many different ways can 4 fruits be chosen to make a fruit salad, if there are 10 different types of fruit to select from?

Choose 4 of the 10 available fruits (10C4)

Explanation

Choose 4 of the 10 available fruits (10C4)

Submit

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2. Of the 9 male and 5 female members of student council, how many different ways can 4 males or 4 females be selected to form a fundraising committee of 4 people?

Choose 4 of the 9 males OR choose 4 of the 5 females to be on the committee (9C4 + 5C4)

Explanation

Choose 4 of the 9 males OR choose 4 of the 5 females to be on the committee (9C4 + 5C4)

Submit

3. A firm employs 70 people:
28 Engineers
33 Women
29 Supervisors
10 Female Engineers
11 Female Supervisors
9 Engineers who are Supervisors
3 Female Supervisors who are Engineers
How many Women are not Supervisors or Engineers?

Section C on the Venn Diagram represents the women who are not supervisors or engineers (in the women circle but outside the other 2 circles)

Explanation

Section C on the Venn Diagram represents the women who are not supervisors or engineers (in the women circle but outside the other 2 circles)

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4. A survey of a machine shop reveals the following information about its 100 employees:48 can run a lathe49 can run the milling machine56 can operate a punch press26 can run a lathe and a milling machine19 can run a milling machine and a punch press24 can run a lathe and punch press9 can run all three machines How many employees can run at least two of the three machines?

Section D can run both the lathe and the milling machine, but not the punch press
Section H can run both the lathe and the punch press, but not the milling machine
Section E can run both the punch press and the milling machine, but not the lathe
Section L can run all three machines

D + H + E + L = employees who can run at least two of the three machines

Explanation

Submit

5. A survey of a machine shop reveals the following information about its 100 employees:48 can run a lathe49 can run the milling machine56 can operate a punch press26 can run a lathe and a milling machine19 can run a milling machine and a punch press24 can run a lathe and punch press9 can run all three machines How many employees can only run one of the three machines?

Section A can only run the lathe, Section B can only run the milling machine and Section C can only run the punch press.
A + B + C = the employees who can run only one of the three machines.

Explanation

Section A can only run the lathe, Section B can only run the milling machine and Section C can only run the punch press.
A + B + C = the employees who can run only one of the three machines.

Submit

6. This quiz program is better than the others.

True

False

Let me know if you have any trouble with this program. It is called ProProfs. Thanks!

Explanation

Let me know if you have any trouble with this program. It is called ProProfs. Thanks!

7. A firm employs 70 people:
28 Engineers
33 Women
29 Supervisors
10 Female Engineers
11 Female Supervisors
9 Engineers who are Supervisors
3 Female Supervisors who are Engineers
How many Men are not Supervisors or Engineers?