Let x, y, z be elements from interval [...

Let x, y, z be elements from interval `[0, 2 pi]` satisfying the inequality `( 4 + sin 4 x) ( 2 + cot^(2) y) ( 1 + sin^(4 )z) le 12 sin ^(2) z ` then

A

The number of ordered pairs (z, x) is 8

B

The number of ordered pairs (y, z) such that z = y is 2

C

The number of ordered pairs (x, y) is 4

D

The number of ordered pairs ( y , z) is 6

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The correct Answer is:

A, B

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