F is the set of all onto functions from `A ={a_1,a_2.......a_n} to B={x,y,z}` and `fepsilonF` is chosen randomly. What is the probability that x is the image of two elements in A.

Let y={1,2,3,....25). If a student selects a function randomly from the set of all functions from x onto x, then what is the probability that the selected function maps prime numbers to prime numbers?

Find the number of all three elements subsets of the set {a_1, a_2, a_3, ........... a_n} which contain a_3dot

Find the number of all three elements subsets of the set {a_1, a_2, a_3, ........... a_n} which contain a_3dot

Find the number of all three elements subsets of the set {a_1, a_2, a_3, a_n} which contain a_3dot

Find the number of all three elements subsets of the set {a_1, a_2, a_3, a_n} which contain a_3dot

If one quarter of all three element subsets of the set A = { a_1 ,a_2,a_3,. . . ,a_n} contains the element a_3 then n=