Bissoy.com
Doctors Medicines MCQs Q&A

A function is defined by mapping f : A → B such that A contains m elements and B contains n elements and m ≤ n then number of one one functions are _________

A function is defined by mapping f : A → B such that A contains m elements and B contains n elements and m ≤ n then number of one one functions are _________ Correct Answer nCm x m!

From n elements in B we need to select m elements and then arrange them in all ways, thus answer=nCm x m!.

Related Questions

A function is defined by mapping f : A -> B such that A contains m elements and B contains n elements and m>n then number of one one functions are ________
A function is defined by mapping f : A → B such that A contains m elements and B contains n elements and 1≤n≤m then number of onto functions are ________
A function is defined by mapping f:A→B such that A contains m elements and B contains n elements and m > n then number of bijections are ________
As per the RBI Act, 1934, the following functions are described as the functions of a Central Bank:
1. Banking functions
2. Advisory functions
3. Supervisory functions
4. Promotional functions
Identify the correct combination:
There are two rows, each containing 3 numbers. Below are some rules to be used to get the resultant number for each row separately. Use the rule from left to right for each row and find the answer to the question. Rule: 1. If an even number is followed by an even number, then the first number will be subtracted from the second. 2. If an odd number is followed by an odd number, then both will be added. 3. If an odd number is followed by an even number, then the even number will be subtracted from the square of the odd number. 4. If an even number is followed by an odd number, then the odd number will be subtracted from the even number. Row I: 9,11, 34 Row II: 16, 9, 8 What is the difference between the resultant numbers in the first row and the second row
Consider the following two C code segment. Y and X are one- and two-dimensional arrays of size n and n × n respectively, where 2 ≤ n ≤ 10. Assume that in both code segments, elements of y are initialized to 0 and each element X[i] [j] of array X is initialized to i + j. Further assume that when stored in main memory all elements of x are in same main memory page frame. Code segment 1:                 //initialize elements of y to 0                 //initialize elements X[i] [j] of X to i+j                       for (i = 0; i < n; i++)                                 Y[i] += X[0] [i]; Code Segment 2:                 //initialize elements of Y to 0                 //initialize elements X[i] [j] of X to i+j                        for (i = 0; i < n; i++)                                 Y[i] += X[i] [0]; Which of the following statements is/are correct? S1: Final contents of array Y will be same in both code segments S2: Elements of array X accessed inside the for loop shown in code segment 1 are contiguous in main memory S3: Elements of array X accessed inside the for loop shown in code segment 2 are contiguous in main memory
Consider the set of all functions f: {0,1, … ,2014} → {0,1, … ,2014} such that f(f(i))=I, for all 0 ≤ i ≤ 2014. Consider the following statements: P. For each such function it must be the case that for every i, f(i) = i Q. For each such function it must be the case that for some i, f(i) = i R. Each such function must be onto. Which one of the following is CORRECT?
The following moves are performed on g(x). (i) Pick (x0, y0) on g(x) and travel toward the left/right to reach the y = x line. Now travel above/below to reach g(x). Call this point on g(x) as (x1, y1) (ii) Let the new position of (x0, y0)be (x0, y1) This is performed for all points on g(x) and a new function is got. Again these steps may be repeated on new function and another function is obtained. It is observed that, of all the functions got, at a certain point (i.e. after finite number of moves) the nth derivatives of the intermediate function are constant, and the curve passes through the origin. Then which of the following functions could be g(x)
Assertion (A) It has been suggested that while roles answer the question 'how to be interfaced with other people to reach our goals'? Functions answer the question 'what do you do to accomplish our goals'?
Reason (R) Roles are more relational while functions go beyond inter-personal relations. Functions such as planning, decision-making etc may not necessarily involve working with others and several managerial functions can be performed without communication with people.
Let A be a finite set having x elements and let B be a finite set having y elements. What is the number of distinct functions mapping B into A.