Three numbers x, y, z are selected from the set of the first seven natural numbers such that x > 2y > 3z. How many such distinct triplets (x, y, z) are possible?
A
One triplet
B
Two triplets
C
Three triplets
D
Four triplets
Correct Answer: Option D
Explanation
We are looking for distinct triplets (x, y, z) from the set {1, ..., 7} satisfying x > 2y > 3z.
Strategy: Use 'Strategic Variable Fixing' [54]. Start with 'z' because