The number of function `f` from {1,2,3,.....30}onto {1,2,3,.....30}. Such that `f(k)` is a multiple of 4 whenever `k` is multiple of `5`is

If set A={1, 2, 3, ...,20 } , then the find the number of onto functions from A to A such that f(k) is a multiple of 3, whenever k is a multiple of 4. (A) 6^5xx15! (B) 5^6xx15! (C) 6!xx5! (D) 6!xx15!

The total number of onto functions from the set {1,2,3,4) to the set (3,4,7) is

Thirty identical cards are marked with numbers 1 to 30. If one card is drawn at random, find the probability that it is : (i) a multiple of 4 or 6. (ii) a multiple of 3 and 5 (iii) a multiple of 3 or 5

Show that a one-one function f : {1, 2, 3}-> {1, 2, 3} must be onto.

Show that a one-one function f : {1, 2, 3}-> {1, 2, 3} must be onto.

Find the probability that a number selected at random from the numbers 1,2,3,...35 is a prime number (ii) multiple of 7 (iii) a multiple of 3 or 5

Consider all function f: {1,2,3,4} to {1,2,3,4} which are one-one, onto and satisfy the following property : If f (k) is odd then f (k+1) is even, K=1,2,3. The number of such function is :

What is the probability that a number selected from the numbers 1,\ 2,\ 3,\ .......,\ 15 is a multiple of 4?

Let A={1,2,3,4,5}, B={1,2,3,4} and f:A rarr B is a function, then

There are 30 tickets numbered from 1 to 30. A ticket is drawn at random, find the probability of getting a ticket whose number is: (i) multiple of 3 (ii) multiple of 7 (iii) multiple of 3 or 7