Home
Class 12
MATHS
Out of 8 sailors on a boat, 3 can work o...

Out of 8 sailors on a boat, 3 can work only on one particular side and 2 only on the other side. Find the number of ways in which the ways in which the sailors can be arranged on the boat.

Text Solution

Verified by Experts

The correct Answer is:
1728
Let the particular side on which 3 particular sailors can work be named A, and another side B on which 2 particular sailors can work. Thus, we are left with 3 sailors only.
The number of ways of selection of one sailor for side A is `.^(3)C_(1)=3` and then we are left with 2 sailors for other sides. Now, on each side 4 sailors can be arranged in 4! ways. Hence, total number of arrangements is `3xx4!xx4!=3xx24xx24=1728`.
Promotional Banner

Similar Questions

Explore conceptually related problems

Out of 8 sailors on a boat, 3 can work only on one particular side and 2 only on the other side. Find the number of ways in which the sailors can be arranged on the boat.

Find the number of ways in which 10 different diamonds can be arranged to make a necklace.

Find the number of ways in which 12 different beads can be arranged to form a necklace.

A number of 18 guests have to be seated, half on each side of a long table. Four particular guests desire to sit on one particular side and three others on the other side. Determine the number of ways in which the sitting arrangements can be made.

Eighteen guests have to be seated , half on each side of a ling table . Four particular guests desire to sit on one particular side and three others on the other side . Determine the number of ways in which the sitting arrangements can be made .

Find the number of ways in which the number 94864 can be resolved as a product of two factors.

Find the number of ways in which the letters of the word DRAUGHT can be arranged so that the vowels are always together .

The number of ways in which 5 letters can be posted in 10 letter boxes is

Find the number of ways in which the letters of the word 'STATISTICS' can be arranged so that I do not not come together?

Find the number of ways in which the letters of the word ORION can be arranged so that two consonants do not come together.