Question
Mathematics Question on Permutations and Combinations
Out of eight crew members three particular members can sit only on the left side. Another two particular members can sit only on the right side. Find the number of ways in which the crew can be arranged so that four men can sit on each side.
A
864
B
865
C
863
D
1728
Answer
1728
Explanation
Solution
By using permutation and Combination,
we can get the No. of ways our men can sit on left side = 3C2 * 4! – Equation 1
and No. of ways our men can sit on right side = 4! – Equation 2
Total ways = By multiplying the equation 1 and equation 2
= 3C2*4!*4!
= 1728
The correct option is (D)