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permutation and combination

Permutation and Combination permutation and combination are ways for the arrangement or selection of a group of persons/ numbers etc. Permutation is an act of rearrangement all the members of a set into same sequence or order.It is one of the different arrangement of a group of items where order / sequence / way matters whereas combination is a way of selecting members from the group such that the order of selection doesn't matter. Fundamental principle of multiplication It there are two jobs such that one of them can be completed in m ways and second job can be completed in m ×n ways. e.g. If there are 4 ways in which a person can go from X to Y and 7 ways in which he can go from Y to Z , then possible ways to go from X to Z = 4 ×7 = 28 ways. Fundamental principle of addition If there two jobs such that they can be performed independently in m and n ways respectively , then either of the two jobs performed in (m+n) ways. Permutation By permutation we mean...

Simple and compound Interest

Simple and compound Interest Simple Interest:- Basic formulae for calculation of various parameters related to simple interest are explained as under If P= Principal, R = Rate per cent per annum ,T= Number of years, SI = Simple interest and A = Amount, Then Elementary Formulae on Simple Interest 1.Change of rate of interest and time when interest is calculated for different specified time. if original rate = R% and time = T yr , Then For half-yearly, rate = R/2 % and time = 2T For quarterly, rate = R/4 % and time = 4T For quarterly, rate = R/12 % and time =12T 2. When a sum becomes n times of its in T yr at a rate of R% per annum, then RT = (n-1) x 100 3. When the simple interest on a sum at R% per annum in T yr is X/Y of the sum, then for R = T T = R = √ [(x/y) x 100 ] 4. When two equal sum are deposited for T 1 and T 2 at the rate of interest of R 1 % and R ...

Ratio,Proportion,Partnership and Mixture

Ratio,Proportion,Partnership and Mixture Ratio :- Ratio compares two or more quantities of same kind with each other by method of division.It is a relation that one quantity bears to another with respect to magnitude or in other words, ratio of two quantities is the number of times of one quantity contains another quantities of same kind. If a and b are two quantities of the same kind,then a/b known as the ratio of a and b . It is clear that ,the ratio of two quantities is equivalent to the fraction of one quantities to the other. Thus , a to b is the ratio (a/b) , written as a:b. The first term of the ratio is called antecedent while the second term is called consequent. A ratio remains unchanged . if each term of a ratio are multiplied or divided by the...