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Objects Kept Together in Arrangements
n people, 2 must be together: treat the pair as one, so (n-1)! * 2 (the pair can swap). Three together: 3! inside the block.
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Objects Kept Together in Arrangements
What is it?
n people, 2 must be together: treat the pair as one, so (n-1)! * 2 (the pair can swap). Three together: 3! inside the block.
In simple words
- n people, 2 must be together: treat the pair as one, so (n-1)!
- 2! for a pair
- (n-1)! blocks
- State the rule, show the working, and check the answer.
Important terms
OBJECTS KEPT TOGETHER IN ARRANGEMENTS: n people, 2 must be together: treat the pair as one, so (n-1)! * 2 (the pair can swap). Three together: 3! inside the block.
TOGETHER: n people, 2 must be together: treat the pair as one, so (n-1)!
What you should learn
- State the rule or meaning of objects kept together in arrangements in easy words.
- Apply objects kept together in arrangements in a clear step-by-step solution.
- Check the conditions, working, and final answer for accuracy.
Examples
- 2! for a pair
- (n-1)! blocks
- Word: vowels as a block
MAIN IDEA
n people, 2 must be together: treat the pair as one, so (n-1)! * 2 (the pair can swap). Three together: 3! inside the block.
EXAM USE
Write the rule first: n people, 2 must be together: treat the pair as one, so (n-1)! Substitute carefully, show one step per line, and check signs, restrictions, units, and the final result.
Recommended for Class 11
Full school-level explanation
n people, 2 must be together: treat the pair as one, so (n-1)! * 2 (the pair can swap). Three together: 3! inside the block.
Understand the idea, then apply it:
WHAT — OBJECTS KEPT TOGETHER IN ARRANGEMENTS
n people, 2 must be together: treat the pair as one, so (n-1)! * 2 (the pair can swap). Three together: 3! inside the block.
WHY — Why it matters
This rule is a separate learning unit inside restrictions in arrangements. It can be defined, applied, and checked in its own FBISE question.
HOW — How to answer
Write the rule first: n people, 2 must be together: treat the pair as one, so (n-1)! Substitute carefully, show one step per line, and check signs, restrictions, units, and the final result.
MAIN IDEA
n people, 2 must be together: treat the pair as one, so (n-1)! * 2 (the pair can swap). Three together: 3! inside the block.
Remember
- block + inside
Examples
- 2! for a pair
- (n-1)! blocks
- Word: vowels as a block
EXAM USE
Write the rule first: n people, 2 must be together: treat the pair as one, so (n-1)! Substitute carefully, show one step per line, and check signs, restrictions, units, and the final result.
Remember
- focused answer
- accurate support
Examples
- State the central idea
- Use one accurate detail
- Check the final response
How to answer a objects kept together in arrangements question
How it works
- Read the exact command word and identify what the question asks.
- State the matching idea, rule, or meaning before adding detail.
- Use the unit evidence or mathematical working that directly supports the answer.
- Check accuracy, relevance, and answer length before finishing.
Remember
- block + inside
- together: glue as one super person
- not together: all - together
- complement
- block + inside
- focused answer
- accurate support
- block + inside
Deeper understanding
Go beyond memorising Objects Kept Together in Arrangements. Connect the definition to reasons, relationships, exceptions, and exam wording.
Common mistakes
Exam focus
Core Idea
What to Know
Example or Evidence
How to Answer
Exam focus
Quick revision
- block + inside
- together: glue as one super person
- not together: all - together
- complement
- OBJECTS KEPT TOGETHER IN ARRANGEMENTS: n people, 2 must be together: treat the pair as one, so (n-1)! * 2 (the pair can swap). Three togeth
- TOGETHER: n people, 2 must be together: treat the pair as one, so (n-1)!
Together uses a block. Not together is usually total minus together, not a new guess.
For long answers on Objects Kept Together in Arrangements: define clearly → explain the main parts → give one example → state one exam caution.
Exam Focus
Exam Focus
Important points
- block + inside
- together: glue as one super person
- not together: all - together
- complement
Important formulas
- block + inside
- together: glue as one super person
- not together: all - together
Common exam traps
- Together uses a block. Not together is usually total minus together, not a new guess.
- Do not choose a formula before checking that its conditions fit the question.
Long question structure
Definition → key parts → example → exam caution
Common Mistakes
Common Mistakes
- Mistake
Together uses a block. Not together is usually total minus together, not a new guess.
- Mistake
Do not choose a formula before checking that its conditions fit the question.
- Mistake
Do not hide sign changes, restrictions, or skipped algebra steps.
- Mistake
Together uses a block. Not together is usually total minus together, not a new guess.
Revision Zone
60-Second Revision
Quick cues from this topic — use them for last-minute revision.
block + inside
together: glue as one super person
not together: all - together
complement
n people, 2 must be together: treat the pair as one, so (n-1)! * 2 (the pair can swap). Three together: 3! inside the block.
- Definition
- n people, 2 must be together: treat the pair as one, so (n-1)! * 2 (the pair can swap). Three together: 3! inside the block.
- Example
- 2! for a pair
- Critical warning
- Together uses a block. Not together is usually total minus together, not a new guess.
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Exam Practice
Define
Q1. Define Objects Kept Together in Arrangements.
Explain
Q2. Explain: MAIN IDEA.
Example
Q3. Give one clear example of Objects Kept Together in Arrangements and say why it fits.
Mistake
Q4. State one common mistake students make about Objects Kept Together in Arrangements.
Exam note
Q5. Write a short exam note on Objects Kept Together in Arrangements: definition, two points, one example.
Sources & References
School-standard facts for Matric and Intermediate. Original explanations — not copied from textbooks.