Question:medium

One mapping is selected at random from all mappings of the set S=1,2,3,… ,n into itself. The probability that it is one–one is (3)/(32). Then the value of n is

Show Hint

One–one mappings from a set to itself equal permutations.

Updated On: Mar 20, 2026

3
4
5
6

Show Solution

The Correct Option is B

Solution and Explanation

Was this answer helpful?

0

Top Questions on Probability

A bag contains 10 balls out of which \( k \) are red and \( (10-k) \) are black, where \( 0 \le k \le 10 \). If three balls are drawn at random without replacement and all of them are found to be black, then the probability that the bag contains 1 red and 9 black balls is:
- JEE Main - 2026
- Mathematics
- Probability
View Solution
Mean of first 5 natural numbers:
- GUJCET - 2026
- Mathematics
- Probability
View Solution
Probability of getting a head in a fair coin toss:
- GUJCET - 2026
- Mathematics
- Probability
View Solution
Three cards are drawn successively, without replacement from a pack of 52 well shuffled cards. The probability that first two cards are kings and the third card drawn is an ace is _____
- GUJCET - 2026
- Mathematics
- Probability
View Solution
Want to practice more? Try solving extra ecology questions todayView All Questions

Questions Asked in BITSAT exam

What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?

BITSAT - 2025
Vector Algebra

In a mixture of gases, the average number of degrees of freedom per molecule is 6. If the rms speed of the molecule is \(c\), what is the velocity of sound in the gas?

BITSAT - 2025
kinetic theory

A ball is thrown vertically upward with a speed of 49 m/s. How long will it take to return to the thrower’s hand?

BITSAT - 2025
Kinematics

Two identical bodies of mass 1 kg each are moving towards each other with velocities of 5 m/s and 3 m/s, respectively. They collide elastically. What will be the velocity of the body initially moving at 5 m/s after the collision?

BITSAT - 2025
Mechanics