| Find the number of ways of arranging the letters of the word SHIPPING, so that the two P's are together and the two I's are together. |
A) 360
B) 120
C) 720
D) 460
Correct Answer: C
Solution :
| There are 8 letters in the given words shipping in which two P's are alike and two I's are alike. By taking two P's as 1 unit and two I's as another unit and the rest all different we have total 6 different units. These can be arranged in 6 ways |
| \[=6\times 5\times 4\times 3\times 2\times 1=720\] |
| Since, two I's can be arranged among themselves in one way and two P's can be arranged in one way. |
| \[\therefore \]Required arrangement \[=6!\,\times 1\times 1\] |
| \[=720\times 1\times 1=720\]ways |
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