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Name Worksheet C2 All Types of Permutations 1. How many 5-number license plates can be made using the digits 0 1 2 3 4 5 if a. repetitions ARE allowed b. repetitions are NOT allowed 2. A teacher wants to write an ordered 4-question test from a pool of 12 questions. How many different forms of the test can the teacher write odd digit must come first and 4. Assume the same situation as 3 but tell me how many EVEN license plates can be made if repetitions ARE allowed* 5. In how many ways can 4 blue 3 red and 2 green flags be arranged on a pole 6. Find the number of permutations of the letters of these words a* DEED b. COMMITTEE c* CINCINNATI 7. A player in a word game has the letters E E B D G G G* In how many ways can these letters be arranged Worksheet E2 Combinations Use the combinations formula to simplify each problem* 1. 9 C4 2. 4 C4 3. 9 C0 C3 C8 C4 8. A test consists of 20 questions but you are told to answer only 15. In how many different ways can you choose the 15 questions 9. H....

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  2. Begin by entering your name in the designated field at the top of the worksheet.
  3. Next, input the date in the provided space to document when you are filling out the worksheet.
  4. Read each question carefully, starting with the first problem. Make sure to follow any specific instructions for whether repetitions are allowed or not.
  5. For each question, calculate the permutations based on the criteria given, and write your answers in the provided spaces.
  6. Continue working through each question, ensuring to follow the proper format for your responses as indicated.
  7. Once you have answered all the questions, review your responses for accuracy.
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Combinations with repetition A combination with repetition of objects from is a way of selecting objects from a list of. . The selection rules are: the order of selection does not matter (the same objects selected in different orders are regarded as the same combination); each object can be selected more than once.

Answer and Explanation: There are 7 possible combinations with 3 numbers. When the number of elements in a group is quite small, we can determine the number of combinations that we can make with those elements by simply listing all of the possibilities, and counting them up.

We can have four-digit numbers such as 1000, 1002, 3032, and 4044. In all these numbers, one digit is repeated twice or thrice. Therefore, it means that it is an example of permutations with repetition.

Permutations without Repetition In this case, we have to reduce the number of available choices each time. For example, what order could 16 pool balls be in? After choosing, say, number "14" we can't choose it again. In other words, there are 3,360 different ways that 3 pool balls could be arranged out of 16 balls.

Combination with Repetition formula. If we choose a set of r items from n types of items, where repetition is allowed and the number items we are choosing from is essentially unlimited, the number of selections possible: (n+r−1r).

To calculate combinations, we will use the formula nCr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time.

There is a subset of permutations that takes into account that there are double objects or repetitions in a permutation problem. In general, repetitions are taken care of by dividing the permutation by the factorial of the number of objects that are identical.

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© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232
Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
Privacy Notice
Legal Hub
Content Takedown Policy
Bug Bounty Program
About Us
Blog
Affiliates
Contact Us
Delete My Account
Site Map
Industries
Forms in Spanish
Localized Forms
State-specific Forms
Forms Kit
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate WorkFlow
DocHub
Instapage
Social Media
Call us now toll free:
+1 833 426 79 33
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232