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Recent questions tagged counting
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Combinatorics & Probability
A rumor is spread randomly among a group of 10 people by successively having one person call someone, who calls someone, and so on. A person can pass the rumor on to anyone except the individual who just called. (a) By how many different paths can a rumor ... in $N$ calls? (c) What is the probability that if $A$ starts the rumor, then $A$ receives the third calls?
Debargha Mitra Roy
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Combinatory
Feb 8
by
Debargha Mitra Roy
126
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combinatory
counting
4
votes
1
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GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 30
A university's mathematics department has $10$ professors and will offer $20$ different courses next semester. Each professor will be assigned to teach exactly $2$ of the courses, and each course will have exactly one professor assigned to teach it. If any professor ... $10^{20}-2^{10}$ $\dfrac{20 ! 10 !}{2^{10}}$
GO Classes
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Combinatory
Jan 28
by
GO Classes
473
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goclasses2024-mockgate-13
goclasses
combinatory
counting
1-mark
6
votes
2
answers
3
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 17
The number of ways that one can divide $10$ distinguishable objects into $3$ indistinguishable non-empty piles, is: $ \left\{\begin{array}{c} 10 \\ 3 \end{array}\right\}=9330 $ In how many different ways can one do this if the piles are also distinguishable?
GO Classes
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in
Combinatory
Jan 21
by
GO Classes
837
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goclasses2024-mockgate-12
goclasses
numerical-answers
combinatory
counting
1-mark
5
votes
2
answers
4
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 18
The number of ways that one can divide $10$ distinguishable objects in $3$ indistinguishable non-empty piles, is: $ \left\{\begin{array}{c} 10 \\ 3 \end{array}\right\}=9330 $ In how many different ways can one do this if the objects are also indistinguishable?
GO Classes
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in
Combinatory
Jan 21
by
GO Classes
811
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goclasses2024-mockgate-12
goclasses
numerical-answers
combinatory
counting
1-mark
1
vote
0
answers
5
Made Easy: Counting number of subgraphs of the given graph. How should I approach this question?
tishhaagrawal
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in
Graph Theory
Dec 16, 2023
by
tishhaagrawal
482
views
gate-preparation
test-series
made-easy-test-series
self-doubt
counting
graph-theory
discrete-mathematics
graph-connectivity
0
votes
4
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6
Made Easy Probability - Let X be a set containing n elements. Three subsets A,B, C of X are chosen at random. The probability that A, B, C are pairwise disjoint is? (What do they mean by pairwise disjoint? and how should I approach this question?)
tishhaagrawal
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in
Probability
Dec 4, 2023
by
tishhaagrawal
934
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probability
combinatory
counting
made-easy-test-series
gate-preparation
test-series
engineering-mathematics
self-doubt
bad-question
1
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0
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7
Test Series: Aptitude question --> "Counting cubes" Can somebody please explain the approach behind such questions? I often spend a lot of time in them.
tishhaagrawal
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in
Spatial Aptitude
Nov 28, 2023
by
tishhaagrawal
589
views
made-easy-test-series
test-series
gate-preparation
general-aptitude
spatial-aptitude
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