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Question

The cardinal number of the set Y={x:x16 & xN} is

A
16
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B
15
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C
17
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Solution

The correct option is A 16
The set is defined by:
Y={x:x16 & xN}, which can be interpreted as the set of all natural numbers x such that x16.
So, in Roster form we can write it as:
Y={1,2,3,4,...,14,15,16}. As the number of distinct elements in the set is 16.
Hence, it's cardinality =16.

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