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Mathematics 19 Online
OpenStudy (mathmath333):

A dictionary has different words that only consists of letters {ACHINS}. What will be the position of the word SACHIN in that sequence?

OpenStudy (mathmath333):

\(\large \color{black}{\begin{align} & \normalsize \text{A dictionary has different words that only consists of letters {ACHINS}.}\hspace{.33em}\\~\\ & \normalsize \text{ What will be the position of the word SACHIN in that sequence?}\hspace{.33em}\\~\\ & a.)159 \hspace{.33em}\\~\\ & b.)160 \hspace{.33em}\\~\\ & c.)161 \hspace{.33em}\\~\\ & d.)162 \hspace{.33em}\\~\\ \end{align}}\)

OpenStudy (phi):

do they define what a "word" is ?

imqwerty (imqwerty):

^

OpenStudy (mathmath333):

example ACIHSN is a word

imqwerty (imqwerty):

well the question makes sense only if we can make any random wrd

imqwerty (imqwerty):

we can also conclude that repetition is not allowed :)

OpenStudy (mathmath333):

there are 6! of the words there as repetion is allowed

OpenStudy (mathmath333):

and S starts from 5 last 5! =120

OpenStudy (phi):

yes, but we will get 601 using that.

OpenStudy (mathmath333):

but 6!-5!=600 but the answer is 601 , i m confused on that

imqwerty (imqwerty):

1) calculate all possible combinations of words tha can be made with A fixed 2)do the same with C, H, I, N 3) now we have S and luckily the 1st wrd that can be made starting with S is SACHIN :P so can u do it now :)

OpenStudy (phi):

there are 120 "words" per starting letter the first 5 groups use up 600 slots SACHIN will be in slot 601

OpenStudy (phi):

but that is no where near your answer choices of about 160

imqwerty (imqwerty):

yea 601 is the answer :)

OpenStudy (mathmath333):

oh lol yea

OpenStudy (mathmath333):

i wrote the choices incorrectly it was supposed to be 599,600,601,602

imqwerty (imqwerty):

hehe e.e XD

OpenStudy (phi):

playing a joke on me! how mean!

imqwerty (imqwerty):

^

OpenStudy (mathmath333):

hallucinations happen to everyone including me

imqwerty (imqwerty):

LAWL ( ͡° ͜ʖ ͡°)

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