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Mathematics 18 Online
OpenStudy (anonymous):

The total number of ways, in which letters of the word ‘ACCOST’ can be arranged, so that the two Cs never come together, is

OpenStudy (anonymous):

cc -consider as one unit,so 5! ways

OpenStudy (anonymous):

6!-5! ways=602 ways take cc as a grp then permute it .you will get the total number of words with cc together then minus it from the max number of ways you can form word you get 602

OpenStudy (anonymous):

@ganeshie8 can you help me please i tagged you

OpenStudy (anonymous):

then the two cc should not be together so .how to get cc seperated

OpenStudy (anonymous):

5!*2!

ganeshie8 (ganeshie8):

@DELKATTY69 's approach is correct, but the answer is slightly wrong

OpenStudy (anonymous):

6!-5!*2!

OpenStudy (anonymous):

it may appear wrong but i believe its correct

ganeshie8 (ganeshie8):

‘ACCOST’ i think total number of permutations = \(\large \dfrac{6!}{2!}\)

OpenStudy (anonymous):

please concentrate on the second part not the cc together part

OpenStudy (anonymous):

6!/2! cuz c repeated twice

ganeshie8 (ganeshie8):

permutations with CC together = \(\large 5!\) so the required permutations with CC never together = \(\large \dfrac{6!}{2!} - 5!\)

ganeshie8 (ganeshie8):

see if that looks okay @DELKATTY69 :)

OpenStudy (anonymous):

240

OpenStudy (anonymous):

but bit confusing

OpenStudy (anonymous):

as i told earlier we have c two times so we are dividing

OpenStudy (anonymous):

well forgot 6C2 part sorry

ganeshie8 (ganeshie8):

`numbers with CC together` + `numbers with CC not together` = `total numbers`

ganeshie8 (ganeshie8):

^^

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