Purpose of this note is to show that the existing Balanced Incomplete Block Designs with parameters (i) v ∗ , b ∗ , r ∗ , k ∗ , λ ∗ = 1 and v ∗ = (k - 1)(k - 2)/2, b ∗ = k(k - 1)/2, r ∗ = k, k ∗ = k - 2, λ ∗ = 2 can be dualised to give Partially Balanced Incomplete Block Designs with only two types of associates. Easy methods for writing down the designs thus obtained are also given.
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S. S. Shrikhande (1952) studied this question.