## mathmath333 one year ago A dictionary has different words that only consists of letters {ACHINS}. What will be the position of the word SACHIN in that sequence?

1. 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}}

2. phi

do they define what a "word" is ?

3. imqwerty

^

4. mathmath333

example ACIHSN is a word

5. imqwerty

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

6. imqwerty

we can also conclude that repetition is not allowed :)

7. mathmath333

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

8. mathmath333

and S starts from 5 last 5! =120

9. phi

yes, but we will get 601 using that.

10. mathmath333

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

11. 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 :)

12. phi

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

13. phi

14. imqwerty

yea 601 is the answer :)

15. mathmath333

oh lol yea

16. mathmath333

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

17. imqwerty

hehe e.e XD

18. phi

playing a joke on me! how mean!

19. imqwerty

^

20. mathmath333

hallucinations happen to everyone including me

21. imqwerty

LAWL ( ͡° ͜ʖ ͡°)