Page 5 - E booklet prep 3 bader 2025 b_Neat

The Cartesian product :

If X = { a , b } and Y = { -1 , 4 , 7 } then :
?? × ?? = …{ ( a , -1 ) , ( a , 4 ) , ( a , 7 ) , ( b , -1 ) , ( b , 4 ) , ( b , 7 ) }

?? × ?? = …{ ( -1 , a ) , ( -1 , b ) , ( 4 , a ) , ( 4 , b ) , ( 7 , a ) , ( 7 , b ) }

???? = …{ ( a , a ) , ( a , b ) , ( b , a ) , ( b , b ) }

???? = …{ ( -1 , -1 ) , ( -1 , 4 ) , ( -1 , 7 ) , ( 4 , -1 ) , ( 4 , 4 ) , ( 4 , 7 ) ,
( 7 , -1 ) , ( 7 , 4 ) , ( 7 , 7 ) }
n (?? × ?? ) = ……6………………………………………………………………………………………..

n ( ????) =………4…………………………………………………………………………………………..

n ( ????) =…………9………………………………………………………………………………………..

Notes :

? ?? × ?? ? ?? × ??

? n ( ?? × ?? ) = n ( ?? × ?? ) = n( X ) x n( Y )

|Page5