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Vaishnavi Mishra posted an Question
September 23, 2021 • 16:06 pm
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20 points
20 points
- IIT JAM
- Mathematics (MA)
Consider the sets of sequences x ={(x): x, e{0, 1,ne n} and y={x) e x; x, =1 for atmost finitely many r then, (a) x is countable, y is finite (b) xis uncountabl
Consider the sets of sequences X ={(X): X, e{0, 1,ne N} and Y={X) E X; x, =1 for atmost finitely many r Then, (a) X is countable, Y is finite (b) Xis uncountable, Yis countable (c) Xis countable, Y is countable (d) X is uncountable, Yis uncountable
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Anonymous User
we difine 2 ki power infinite mapping from N to {0,1} so set X of these mapping not a sequence so it is uncountable
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Vaishnavi mishra
and y?
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Anonymous User
x is uncontactable because X is the set of mappping N to {0,1} which are correspondence one to one
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Anonymous User Best Answer
sequence is a mapping from N to Non void subset of R . we define a mapping from N to {0,1}. we define total 2 ki power infinite set of these mapping X is not a sequence so it is not countable