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20 people visit three Scandinavian countries during vacation, namely Denmark, Sweden, and Norway. Each person visits at least one place and 2 people visit all three places. 1, 2, 3 is the number of persons who visit both Sweden, Norway but not Denmark; Norway, Denmark but not Sweden; and Sweden, Denmark but not Norway respectively. 4 people visit only Sweden and 3 people visit only Denmark. So, what is the total number of persons who visit Norway?
Which of the following pair is NOT correctly matched? (Official Visit) (Year) (1) Indian Foreign Minister Atal Bihari Vajpayee’s visit to China 1989 (B) Indian Prime Minister Rajeev Gandhi’s visit to China 1988 (C) Chinese Prime Minister Li Peng’s Visit to India 1992 (D) Chinese President Jiang Zemin’s Visit to India 1996
If a + b + c + d = 4, then find the value of $$\frac{1}{{\left( {1 - a} \right)\left( {1 - b} \right)\left( {1 - c} \right)}}$$     + $$\frac{1}{{\left( {1 - b} \right)\left( {1 - c} \right)\left( {1 - d} \right)}}$$     + $$\frac{1}{{\left( {1 - c} \right)\left( {1 - d} \right)\left( {1 - a} \right)}}$$     + $$\frac{1}{{\left( {1 - d} \right)\left( {1 - a} \right)\left( {1 - b} \right)}}$$     is?
If a + b + c + d = 4, then the value of $$\frac{1}{{\left( {1 - a} \right)\left( {1 - b} \right)\left( {1 - c} \right)}}$$     + $$\frac{1}{{\left( {1 - b} \right)\left( {1 - c} \right)\left( {1 - d} \right)}}$$     + $$\frac{1}{{\left( {1 - c} \right)\left( {1 - d} \right)\left( {1 - a} \right)}}$$     + $$\frac{1}{{\left( {1 - d} \right)\left( {1 - a} \right)\left( {1 - b} \right)}}$$     is?
A sales representative plans to visit each of six companies M, N, P, Q, R and S exactly once during the course of one day. She is setting up her schedule for the day according to the following conditions: 1. She must visit M before N.  2. She must visit N before Q. 3. The third company she visits must be P. If the sales representative visits S first, which company must she visit second?
The value of the expression $$\frac{{{{\left( {a - b} \right)}^2}}}{{\left( {b - c} \right)\left( {c - a} \right)}} + $$   $$\frac{{{{\left( {b - c} \right)}^2}}}{{\left( {a - b} \right)\left( {c - a} \right)}} + $$    $$\frac{{{{\left( {c - a} \right)}^2}}}{{\left( {a - b} \right)\left( {b - c} \right)}}$$   = ?
The Hamiltonian of a particle is given by $$H = \frac{{{p^2}}}{{2m}} + V\left( {\left| {\overrightarrow {\bf{r}} } \right|} \right) + \phi \left( { + \left| {\overrightarrow {\bf{r}} } \right|} \right)\overrightarrow {\bf{L}} .\overrightarrow {\bf{S}} ,$$        where $$\overrightarrow {\bf{S}} $$ is the spin, $$V\left( {\left| {\overrightarrow {\bf{r}} } \right|} \right)$$  and $$\phi \left( {\left| {\overrightarrow {\bf{r}} } \right|} \right)$$  are potential functions and $$\overrightarrow {\bf{L}} \left( { = \overrightarrow {\bf{r}} \times \overrightarrow {\bf{p}} } \right)$$   is the angular momentum. The Hamiltonian does not commute with
$$\frac{{{{\left( {4.53 - 3.07} \right)}^2}}}{{\left( {3.07 - 2.15} \right)\left( {2.15 - 4.53} \right)}} + \, $$     $$\frac{{{{\left( {3.07 - 2.15} \right)}^2}}}{{\left( {2.15 - 4.53} \right)\left( {4.53 - 3.07} \right)}} + \,\, $$     $$\frac{{{{\left( {2.15 - 4.53} \right)}^2}}}{{\left( {4.53 - 3.07} \right)\left( {3.07 - 2.15} \right)}}$$     is simplified to :
PRINCIPLES: 1. Nothing is an offence which is done in the exercise of the right of private defense.
2. When an act, which would otherwise be a certain offence, is not that offence, by reason of the youth, the want of maturity of understanding, the unsoundness of mind or the intoxication of that person or by reason of misconception on the part of that person, every person has the same right of private defense against that act, which he would have if that act were an offence.
3. Everyone has the right to defend their life and property against criminal harm provided it is not possible to approach public authorities and more harm than that is necessary has not been caused to avert the danger.
4. If in the exercise of right of private defense against an assault which reasonably causes the apprehension of death, the defender be so situated that he cannot effectually exercise that right without risk of harm to an innocent person, his right of private defense extends to the running of that risk.
5. The right of private defense continues as long as apprehension of danger continues.
FACT: A enters by night a house which he is legally entitled to enter. Z, in good faith, taking A for a housebreaker, attacks A.
On Dhaka- Sylet highway , 5% of the drives are fined for exceeding the speed limit. However , 80% of the drivers who exceed the speed limit are not fined. What percentage of dirvers on this highway exceed the speed limit?