If x < 4 < y x,y∈{1,2,3,…,10} then find the number of ordered pairs (x, y)
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a
30
b
18
c
40
d
100
answer is B.
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Detailed Solution
We have, x< 4 < ywhere, x,y∈{1,2,3,…,10}⇒x={1,2,3} and y={5,6,7,8,9,10}x = {1, 2, 3} and y ={5, 6, 7, B, 9, 10}Here, x have 3 options and y have 6 options By multiplication rule,Number of ordered pairs=3x6=18