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Let A = [1, 2, 3, ... , n] and f be any ...

Let `A = [1, 2, 3, ... , n]` and f be any mapping from the set A to itself. If one such f is selected at random then the probability of f being invertible is ______.

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A DAS GUPTA-Elementary Probability-Exercise
  1. The probability of a missile hitting a target bridge is1/5. Two miss...

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  2. A dice is thrown six times.The probability of getting three sixes, the...

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  3. Let A = [1, 2, 3, ... , n] and f be any mapping from the set A to itse...

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  4. Two distinct integers x and y are chosen, without replacement, at rand...

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  5. A trunk-call is booked. It is known that a trunk-call booked materiali...

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  6. If two events A and B are such that P(A) =0.3, P(B)=0.4 and P(A'nnB') ...

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  7. The probabilities of two events are 0.25 and 0.50. The total probabili...

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  8. The probability that atleast one of the events A and B occurs is 0.6 I...

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  9. If the letters of the word ASSASSIN are written down in a row, the pro...

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  10. If P(A)=(2)/(3), P(B)=(1)/(2) " and " P(A cup B)=(5)/(6), then events ...

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  11. Three dice are rolled. The probability that different numbers will app...

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  12. The probability of happening of an event A is 0.5 and that of B is 0.3...

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  13. If A and B are two independent events such that P(barA nn B)=2/15 and...

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  14. A student appears for tests I, II and III. The student is successful i...

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  15. The probability that Krishna will be alive 10 years hence is 7/15 and ...

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  16. A soldier is firing at a moving target. He fires four shots. The prob...

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  17. If A and B are independent events such that P(A) = 0.3 and P(Acup B') ...

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  18. Aa n dB are two independent events. The probability that both Aa n dB ...

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  19. The probability that atleast one of the two events A and B occurs is 0...

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  20. There are three events A, B and C one of which must , and only one can...

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