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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- IIT JAM
- Mathematics (MA)
How to solve pls explain concept too
how to solve pls explain concept too. .. . . . . . . . . . . pls show steps .. . .
3 Answer(s)
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Pulkit khandelwal Best Answer
a> We can always get a subset (of k elements) of any set(of n elements) with k
take A=set of natural numbers and x=1 so wo get a bijective fuction f:A onto A-{1} i.e. f(x)=x+1. so b is incorrect. Infact if Ai represnt ith elemnt of A then we can find bijective function whuch map ith element of A to (i+1)th element of A. c> [0,1] is an infinite set we proof in option b that [0,1] is equivalent to(0,1] which is equivalent to (0,1) so (0,1) is equivalent to [0 1] option c is correct d>Z×Z is countable as finite product of countable set is countable. option d is false
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Dhairya sharma![best-answer]()
In any infinite set, you can form a bijection between natural numbers and an infinite subset of that set, therefore making it countable👍 meaning thereby is to say that option a is correct
it may help u
see this
yes mam