Airlines would like to board passengers in the order of decreasing seat numbers(large seat number first, second largest next, and so on), but passengers don't like this policy and refused to go along. If two passengers randomly board a plane but probability that they board in order of decreasing some seat numbers is 1/2; If three passengers randomly board the plane the probability that they board in order ofdecreasing seat number is 1/6 ; If four passengers randomlyboarda plane the probability that they board in order of decreasing seat number is 1/24; and if five passengers randomly board a plane, the probability they board in order of decreasing seat number is 1/120. Use the sequence1/2, 1/6, 1/24, 1/120, ...as your guide,

a)Determine the probability that if six passengers randomly board aplanethey board in order of decreasing seat numbers. Enter your answer as a fraction

b) Determine the probability that if 12 passengers randomly board a plane, they board in order of decreasing seat numbers. Enter your answer as a fraction