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Mathematics 19 Online
OpenStudy (anonymous):

In how many ways can letters of 'CANADA' be arranged so that the consonants follow the same pattern i.e C followed by N followed by D.

OpenStudy (anonymous):

scratch that it is wrong!!

OpenStudy (anonymous):

yeah I think ans was more than 8

OpenStudy (anonymous):

way more

OpenStudy (anonymous):

that's correct, probably 72

OpenStudy (anonymous):

i count 8 where the first letter is a C

OpenStudy (anonymous):

i am trying to come up with a pattern but it is not as obvious as it should be

OpenStudy (anonymous):

maybe this is not so bad to grind out if the first 3 letters are A, there is one way if the first 2 letters are A i think there are only 3 AACAND AACNAD AACNDA

OpenStudy (anonymous):

conntection is bad, sorry

OpenStudy (anonymous):

now suppose first letter is A and second is C ACAAND ACANAD ACANDA ACNAAD ACNADA ACNDAA

OpenStudy (anonymous):

pretty sure i got them all on that one, so far we have 1 + 3 + 6

OpenStudy (anonymous):

and finally first letter could be a C

OpenStudy (anonymous):

i got 8 before but i can try again

OpenStudy (anonymous):

CNDAAA CNADAA CNAADA CNAAAD CANDAA CANADA CANAAD CAANDA CAANAD CAAAND

OpenStudy (anonymous):

let me know if i missed any

OpenStudy (anonymous):

so you are getting 10?

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