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How many different (mutually noncongruent ) trapeziums can be constructed using four distinct side lengths from the set {1,3,4,5,6} ?

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How many different (mutually noncongruent ) trapeziums can be constructed using four distinct side lengths from the set {1,3,4,5,6} ?
A. 5
B. 11
C. 15
D. 30
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Correct Answer - B
image
`|a-c| lt b+d lt a+c`
`(a,d)(b,d)(1,3)(5,6)
(1,3),(4,5)
and (1,3)(4,6)
Now make different combination. Total of 11 combination are possible.
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