Here, n = 23, p = 7 , r = 12 (r > p) ∴ Required number of selections = r=5∑1216Cr = 16C5+16C6+16C7+16C8 + ??? + 16C12 = (16C5+16C6)+(16C7+16C8) + (16C9+16C10) + (16C11+16C12) = (17C6+17C8) + (17C10+17C12) = (17C11+17C12)+(17C7+17C8) = 18C12+18C8 = 18C6+18C8 Now, statement II is valid only when r ≤ p ∴ Statement I is true and statement II is false