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.
scratch that it is wrong!!
yeah I think ans was more than 8
way more
that's correct, probably 72
i count 8 where the first letter is a C
i am trying to come up with a pattern but it is not as obvious as it should be
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
conntection is bad, sorry
now suppose first letter is A and second is C ACAAND ACANAD ACANDA ACNAAD ACNADA ACNDAA
pretty sure i got them all on that one, so far we have 1 + 3 + 6
and finally first letter could be a C
i got 8 before but i can try again
CNDAAA CNADAA CNAADA CNAAAD CANDAA CANADA CANAAD CAANDA CAANAD CAAAND
let me know if i missed any
so you are getting 10?
Join our real-time social learning platform and learn together with your friends!