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

Let `x, y, z` be elements from interval `[0,2pi] ` 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 (x,y) is 5

B

the number of ordered pairs (y,z) is 8

C

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

D

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

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The correct Answer is:

C, D

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