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Question

If $S$ is a set with 10 elements and $A equals left curly bracket open parentheses x comma blank y close parentheses colon x comma blank y element of S comma blank x not equal to y right curly bracket$ , then the number of elements in $A$ is

(a) 100
90
50
45

The correct answer is: 90

Number of element is $S equals 10$
And $A equals left curly bracket open parentheses x comma blank y close parentheses semicolon x comma blank y element of S comma blank x not equal to y right curly bracket$
$therefore$ Number of element in $A equals 10 cross times 9 equals 90$

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