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Class 12 Tuition > What do you mean by Pascal's Rule ?
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What do you mean by Pascal's Rule ?

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Pascal's rule is a way of representing the number of ways one can choose 'k' objects from 'n' objects in terms of 'n-1' objects in which that extra 1 object is either part of the chosen subset or not a part of the chosen subset. If we know that object is part of subset then we need to choose remaining...
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Pascal's rule is a way of representing the number of ways one can choose 'k' objects from 'n' objects in terms of 'n-1' objects in which that extra 1 object is either part of the chosen subset or not a part of the chosen subset. If we know that object is part of subset then we need to choose remaining k-1 objects from n-1, else k objects from n-1. Mathematically, (n-1) C(k-1) + (n-1) C (k) = n C k read less
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Pascal's rule is a combinatorial identity about binomial coefficients. It states that for any natural number n we have {n-1\choose k} + {n-1\choose k-1} = {n\choose k}\quad\text{for }1 \le k \le n where {n\choose k} is a binomial coefficient. This is also commonly written {n \choose k} + {n...
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Pascal's rule is a combinatorial identity about binomial coefficients. It states that for any natural number n we have {n-1\choose k} + {n-1\choose k-1} = {n\choose k}\quad\text{for }1 \le k \le n where {n\choose k} is a binomial coefficient. This is also commonly written {n \choose k} + {n \choose k-1} = {n + 1 \choose k} \quad\text{for } 1 \le k \le n + 1 read less
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One of the most interesting Number Patterns is Pascal's Triangle (named after Blaise Pascal, a famous French Mathematician and Philosopher).
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In mathematics, Pascal's rule is a combinatorial identity about binomial coefficients. It states that for any natural number n we have {n-1\choose k} + {n-1\choose k-1} = {n\choose k}\quad\text{for }1 \le k \le n where {n\choose k} is a binomial coefficient. This is also commonly written {n...
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In mathematics, Pascal's rule is a combinatorial identity about binomial coefficients. It states that for any natural number n we have {n-1\choose k} + {n-1\choose k-1} = {n\choose k}\quad\text{for }1 \le k \le n where {n\choose k} is a binomial coefficient. This is also commonly written {n \choose k} + {n \choose k-1} = {n + 1 \choose k} \quad\text{for } 1 \le k \le n + 1 read less
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Pascal's law or the principle of transmission of fluid-pressure is a principle in fluid mechanics that states that pressure exerted anywhere in a confined incompressible fluid is transmitted equally in all directions throughout the fluid such that the pressure variations (initial differences) remain...
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Pascal's law or the principle of transmission of fluid-pressure is a principle in fluid mechanics that states that pressure exerted anywhere in a confined incompressible fluid is transmitted equally in all directions throughout the fluid such that the pressure variations (initial differences) remain the same. \ read less
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In mathematics, Pascal's rule is a combinatorial identity about binomial coefficients. It states that for any natural number n we have (n-1) c k + (n-1) c (k-1) = nck for 1<= k < = n where nck is a binomial coefficient. This is also commonly written nck + n c(k-1) = (n+1)ck for 1<= k <=...
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Pascal's law or the principle of transmission of fluid-pressure is a principle in fluid mechanics that states that pressure exerted anywhere in a confined incompressible fluid is transmitted equally in all directions throughout the fluid such that the pressure variations (initial differences) remain...
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fluid is transmitted equally in all directions throughout the fluid such that the pressure variations (initial differences) remain the same
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Pascal's Rule : Pascal’s principle, also called Pascal’s law or Pascal's Rule in fluid (gas or liquid) mechanics, statement that, in a fluid at rest in a closed container, a pressure change in one part is transmitted without loss to every portion of the fluid and to the walls of the container. The...
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Pascal's Rule : Pascal’s principle, also called Pascal’s law or Pascal's Rule in fluid (gas or liquid) mechanics, statement that, in a fluid at rest in a closed container, a pressure change in one part is transmitted without loss to every portion of the fluid and to the walls of the container. The principle was first enunciated by the French scientist Blaise Pascal. Pressure is equal to the force divided by the area on which it acts. According to Pascal’s principle, in a hydraulic system a pressure exerted on a piston produces an equal increase in pressure on another piston in the system. If the second piston has an area 10 times that of the first, the force on the second piston is 10 times greater, though the pressure is the same as that on the first piston. This effect is exemplified by the hydraulic press, based on Pascal’s principle, which is used in such applications as hydraulic brakes. read less
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