plz tell me ans .....In how many ways can the letters of the word ASSASSINATION be arranged so that all the S 's are together ????
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SSS are to be together. ie consider SSSS as a single free unit.
remaining free units= (13 - 4)
Total number of free units = (13 -4) +1= 10 free units
10 free units can be arranged in 10 ! ways
Internal arrangement of SSSS together = 4 ! ways
Total number of arrangements = 10! x 4 ! = 87091200 ways
But Identical permutations are= 87091200/(4! x 3! x 2! x 2!) =151200 ways
remaining free units= (13 - 4)
Total number of free units = (13 -4) +1= 10 free units
10 free units can be arranged in 10 ! ways
Internal arrangement of SSSS together = 4 ! ways
Total number of arrangements = 10! x 4 ! = 87091200 ways
But Identical permutations are= 87091200/(4! x 3! x 2! x 2!) =151200 ways
vanshika09876:
thanku very much
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