Operations on numbers by splitting

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Coelom is formed by splitting of

Write the total number of binary operations on a set consisting of two elements.

Cosider the number N=2910600, Total number of ways,in which the given number can be split into two factors such that their highest common factor is a prime number is equal to-

[A] : Centromere is concerned with splitting of chromosomes . [R] : Oxysome is present in centromere to split it .

On the set Q of all rational numbers an operation * is defined by a*b=1+ab. show that * is a binary operation on Q.

Introduction to Errors | Types Of Errors | Systematic Errors | Random Errors | Operations on Numbers

Show that addition,subtraction and multiplication are binary operations on R, but division is not a binary operation on R . Further,show that division is a binary operation on the set R of nonzero real numbers.