To find the number of ways to select 6 subjects from 10 for an examination, we can use the combination formula:

\( C(n, r) = \frac{n!}{r!(n - r)!} \)

Where:

- \( n \) is the total number of items (subjects in this case),

- \( r \) is the number of items to be chosen (subjects to be selected), and

- \( ! \) represents the factorial of a number.

In this case, \( n = 10 \) and \( r = 6 \).

Let's plug in the values and calculate:

\( C(10, 6) = \frac{10!}{6!(10 - 6)!} = \frac{10!}{6! \cdot 4!} = \frac{10 \cdot 9 \cdot 8 \cdot 7}{4 \cdot 3 \cdot 2 \cdot 1} = 210 \)