Step 1: Identify fat-soluble vitamins.
Fat-soluble vitamins are A, D, E, K. From the list: A, D, K (3 vitamins).
Step 2: Identify water-soluble vitamins.
Water-soluble vitamins are B vitamins and C. From the list: C, B$_1$, B$_6$ (3 vitamins).
Step 3: Determine the number of fat-soluble and water-soluble vitamins respectively.
Number of fat-soluble vitamins = 3
Number of water-soluble vitamins = 3
Thus, the answer is $ \boxed{3, 3} $.
If the ratio of the terms equidistant from the middle term in the expansion of \((1 + x)^{12}\) is \(\frac{1}{256}\), then the sum of all the terms of the expansion \((1 + x)^{12}\) is:
A 3 kg block is connected as shown in the figure. Spring constants of two springs \( K_1 \) and \( K_2 \) are 50 Nm\(^{-1}\) and 150 Nm\(^{-1}\) respectively. The block is released from rest with the springs unstretched. The acceleration of the block in its lowest position is ( \( g = 10 \) ms\(^{-2}\) )