In how many ways can 10 persons take seats in a row of 24 fixed seats so that no two persons take consecutive seats.

Explanation

To solve the problem of how many ways 10 persons can take seats in a row of 24 fixed seats such that no two persons sit in consecutive seats, we can follow these steps:

### Step 1: Calculate the number of vacant seats
We start by calculating the number of vacant seats after seating the 10 persons. The total number of seats is 24, and since 10 persons will occupy some of these seats, the number of vacant seats is:
\[ \text{Vacant Seats} = 24 - 10 = 14 \]

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