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Speak With a Friendly Mentor. ###### Vaishnavi Mishra posted an Question
September 23, 2021 • 10:36 am 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 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

• ##### 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

and y?

and y ?

Y is also

• ##### Anonymous User

x is uncontactable because X is the set of mappping N to {0,1} which are correspondence one to one

• ##### Anonymous User

d

plz explain

but ans is d

sorry sol is d

but y mapped N to X and and Xn= 1 isko kaise samjhe

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