Higher order (>3) reactions are rare due to:

shifting of equilibrium towards reactants due to elastic collisions
loss of active species on collision
low probability of simultaneous collision of all the reacting species
increase in entropy and activation energy as more molecules are involved

Correct answer: low probability of simultaneous collision of all the reacting species

Solution

Reactions of order greater than 3 are rare because the simultaneous collision of four or more correctly oriented molecules has a very low probability.

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