row row row your boat
Level
pending
Out of 8 sailors on a boat , 3 can work only on one side and 2 only on other side .
The number of ways the sailors can be arranged on the boat
1720
1728
1736
1700
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1 solution
Number of ways to arrange the given 3 people on one side of the boat is equal to choosing 3 seats from one side and arranging them in those places, which equals 4C3 * 3! (4C3 to choose 3 seats from 4 n 3! for arrangement). Similarly for arrangement of the 2 people on other side, number of ways equals 4C2 * 2! and now was can arrange the remaining people in the remaining places which is equal to 3! (as 3 people are remaining. Therefore the total number of ways to arrange the people = 4C3 * 3! * 4C2 * 2! * 3! = 864. But in the question, the side on which the 3 people sit is not specified. Thus total ways = 2 * (number of ways we just calculated) = 1728!