Questions
Of all the mappings that can be defined from the set A : {1,2,3, 4} B : {5, 6,7 ,8, 9} , a mapping is randomly
selected. The chance that the selected mapping is strictly monotonic is
detailed solution
Correct option is B
Each pre-image in set A can be assigned any one of the 5 images from set B Hence total number of functions are n(S)=54=625 For strictly monotonic function either function is increasing or decreasing. For which four different images are used, which can be selected 5C4way. Hence number of monotonic functions are n(A)=2⋅5C4=10 (either increasing or decreasing) ∴ P(A)=10625=2125Similar Questions
The odd against an event are 5 to 2 and the odds in favour of another disjoint event are 3 to 5. Then the probability that atleast one of the events will happen is
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