A certain number of persons sit in a line facing north. How many persons sit between P and C?

Consider the following statements:

I. K sits second to the right of B. Two persons sit between K and P. Only one person sits between B and T.

II. N is the only person who sits to the right of P. The number of persons sitting between K and N is one more than the number of persons sitting between D and T.

III. F sits adjacent to D, who sits fourth to the right of C.

Question

A certain number of persons sit in a line facing north. How many persons sit between P and C?

Consider the following statements:

I. K sits second to the right of B. Two persons sit between K and P. Only one person sits between B and T.

II. N is the only person who sits to the right of P. The number of persons sitting between K and N is one more than the number of persons sitting between D and T.

III. F sits adjacent to D, who sits fourth to the right of C.

Accepted Answer

**Solution:**

1. From statement I:
   - K is second to the right of B.
   - Two persons sit between K and P.
   - Only one person sits between B and T.

This gives partial relative positions but not enough to find the exact number of persons between P and C.

2. From statement II:
   - N is the only person to the right of P.
   - The number of persons between K and N is one more than the number of persons between D and T.

This provides additional information about the relative positions but still does not fix the exact seating order.

3. From statement III:
   - F sits adjacent to D.
   - D sits fourth to the right of C.

This helps to place C, D, and F in relation to each other.

4. Combining all three statements:
   - We can arrange all persons in a line with exact positions.
   - This allows us to determine how many persons sit between P and C.

Hence, all three statements I, II, and III together are required to answer the question.

**Answer:** (d) All three statements I, II, and III together are necessary to answer the question.

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