problems on numbers

Problems on number of Functions and ins applications Number of bijections from Set -A containing elements onto itself is 720 then n is

The set of intergers can be classified into k classes, according to the remainder obtained when they are divided by K (where is a fixed natural number). The classification enables is solving even some more difficult problems of number theory e.g. (i) even, odd classification is based on whether ramainder is 0 or 1 when divided by 2. (ii) when divided by 3, the ramainder may be 0,1,2. Thus, there are three classes. The number obtained, when the square of an integer is divided by 3, is

In an assignment problem if number of rows is greater than number of columns, then dummy .…. is added.

State True or False: In assignment problem, if number of column is greater than number of rows, then a dummy row is added.

In problem 43 , number of atoms decayed between time interval t_(1) and t_(2) are

The frequency and amplitude of the problem number 130 is

In the problem number 130, the wavelength of the wave is