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Permutation and CombinationQuestion and Answers: Page 1

Question Number 227151    Answers: 1   Comments: 0

$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$

Question Number 227102    Answers: 1   Comments: 0

(m/n)

$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$\frac{{m}}{{n}}\: \\ $$$$ \\ $$

Question Number 227098    Answers: 1   Comments: 0

$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$

Question Number 226289    Answers: 0   Comments: 0

Question Number 226044    Answers: 1   Comments: 0

Question Number 224709    Answers: 1   Comments: 0

Question Number 224641    Answers: 1   Comments: 0

Question Number 224634    Answers: 1   Comments: 0

$$\: \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$

Question Number 224623    Answers: 2   Comments: 2

$$\:\: \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$

Question Number 224398    Answers: 0   Comments: 5

Question Number 224261    Answers: 0   Comments: 7

If I have 10 people and I want to create pairings, so that every person is matched with every other person at least once, how many unique pairings will there be in total?

If I have 10 people and I want to create pairings, so that every person is matched with every other person at least once, how many unique pairings will there be in total?

Question Number 222192    Answers: 1   Comments: 0

there are 32 students in a class. for each competition in a sport event in the school each class can send a team with three students. if no two students may be in the same team for more than one time, in how many different competitions can this class participate?

$${there}\:{are}\:\mathrm{32}\:{students}\:{in}\:{a}\:{class}.\:{for} \\ $$$${each}\:{competition}\:{in}\:{a}\:{sport}\:{event}\: \\ $$$${in}\:{the}\:{school}\:{each}\:{class}\:{can}\:{send} \\ $$$${a}\:{team}\:{with}\:{three}\:{students}.\:{if}\:{no} \\ $$$${two}\:{students}\:{may}\:{be}\:{in}\:{the}\:{same} \\ $$$${team}\:{for}\:{more}\:{than}\:{one}\:{time},\:{in} \\ $$$${how}\:{many}\:{different}\:{competitions}\: \\ $$$${can}\:{this}\:{class}\:{participate}? \\ $$

Question Number 222105    Answers: 1   Comments: 1

Question Number 221661    Answers: 1   Comments: 1

Question Number 220878    Answers: 1   Comments: 0

Question Number 220877    Answers: 4   Comments: 0

Question Number 220876    Answers: 3   Comments: 0

Question Number 220874    Answers: 1   Comments: 2

Question Number 220873    Answers: 1   Comments: 0

Question Number 220872    Answers: 1   Comments: 0

Question Number 220744    Answers: 1   Comments: 0

Question Number 220743    Answers: 1   Comments: 0

Question Number 220741    Answers: 1   Comments: 0

Question Number 220740    Answers: 1   Comments: 0

Question Number 220739    Answers: 1   Comments: 0

Question Number 219936    Answers: 1   Comments: 0

Prove that:∀n∈IN ∫^( n+1) _( n) ln(t)dt≤ln(n+(1/2))

$$\mathrm{Prove}\:\mathrm{that}:\forall\mathrm{n}\in\mathrm{IN} \\ $$$$\underset{\:\mathrm{n}} {\int}^{\:\mathrm{n}+\mathrm{1}} \mathrm{ln}\left(\mathrm{t}\right)\mathrm{dt}\leqslant\mathrm{ln}\left(\mathrm{n}+\frac{\mathrm{1}}{\mathrm{2}}\right) \\ $$

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