Permutation and CombinationHard
Question
Number of ways in which 2 Indians, 3 Americans, 3 Italians and 4 Frenchmen can be seated on a circle, if the people of the same nationality sit together, is:
Options
A.2. (4 !)2 (3 !)2
B.2. (3 !)3. 4!
C.2. (3 !) (4 !)3
D.none
Solution
Indians - 2
Americans - 3
Italians - 3
Frenchmen - 4
total number arranging in row of same nationality are together
= 3 ! × 2! × 3! × 3! × 4 !
= 3 ! × 2! × 3! × 3! × 4 !
= 2 . (3!)3 . 4!
Americans - 3
Italians - 3
Frenchmen - 4
total number arranging in row of same nationality are together
= 3 ! × 2! × 3! × 3! × 4 !
= 3 ! × 2! × 3! × 3! × 4 !
= 2 . (3!)3 . 4!
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