one-one function

Let X be a set with exactly 5 elements and Y be a set with exactly 7 elements. If alpha is the number of one-one function from X to Y and beta is the number of onto function from Y to X , then the value of 1/(5!)(beta-alpha) is _____.

Let A = {1, 2, 3}, B = {a, b, c}, C {a_(1), b_(1), c_(1), d_(1), e_(1)} and consider the following statements. S_(1) : The number of one-one functions from A to C is 60. S_(2) : The number of onto functions from C to A is 150 S_(3) : The number of onto functions from B to C is 0 S_(4) : The number of objective functions from A to B is 6 Which of the following combination is true ?

Let A={1,2} . Find all one-to-one function from A to A.

Let A={1,2} . Find all one-to-one function from A to A.

If X={1,2,3,4,5} and Y={a,b,c,d,e,f} and f:X rarr Y , find the total number of {:((i)" functions ",(ii)" one to one functions "),((iii)" many-one functions ",(iv)" constant functions "),((v)" onto functions ",(vi)" into functions "):}

If P(S) denotes the set of all subsets of a given set S, then the number of one-to-one functions from the set S= {1,2,3} to the set P(S) is

Mention one function of the protein hirudin.

Name one function and one deficiency symptom of the following elements : sulphur

Name one function and one deficiency symptom of the following elements : manganese

Name one function and one deficiency symptom of the following elements : calcium