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Recent questions tagged counting

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GATE Mechanical 2023 | GA Question: 9
How many pairs of sets $\text{(S, T)}$ are possible among the subsets of $\{1,2,3,4,5,6\}$ that satisfy the condition that $\mathrm{S}$ is a subset of $\mathrm{T}?$ $729$ $728$ $665$ $664$
How many pairs of sets $\text{(S, T)}$ are possible among the subsets of $\{1,2,3,4,5,6\}$ that satisfy the condition that $\mathrm{S}$ is a subset of $\mathrm{T}?$ $729$...
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GATE Mechanical 2015 Set 3 | GA Question: 5
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to held to complete the league round of matches? $20$ $10$ $8$ $5$
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to held to compl...
0 answers
0 votes
GATE Mechanical 2014 Set 4 | GA Question: 10
A five digit number is formed using the digits $1,3,5,7$ and $9$ without repeating any of them. What is the sum of all such possible five digit numbers? $6666660$ $6666600$ $6666666$ $6666606$
A five digit number is formed using the digits $1,3,5,7$ and $9$ without repeating any of them. What is the sum of all such possible five digit numbers?$6666660$$6666600$...
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