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Numerical Ability
Permutation and Combination
The letter in the word ADOPTS are permuted in all possible ways and arranged in the alphabetical order. Find the word at position 42 in the permuted alphabetical order.
Read Solution (Total 12)
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- Answer- AOSTPD
No. of words starting with AD=4!=24, AO=4!
Thus the word has to start with AO because the last word with AO will be the 48th word.
Now no. of words formed with AOD=3!=6, AOP=3!=6, AOS=3!=6 Thus the last word formed with AOS is=4!+3!+3!+3!=24+6+6+6=42
Thus the last word formed with AOS is AOSTPD - 11 years agoHelpfull: Yes(71) No(15)
- AOSDPT is the answer
- 11 years agoHelpfull: Yes(16) No(17)
- No of words starting with AD=24;
No of words starting with AO=24;
but we want 42nd letter ,so'll start counting words starting from AOD=6;
AOP=6;
AOS=6;
the last word of AOS_ _ _ is 42nd letter and that is AOSTPD - 11 years agoHelpfull: Yes(13) No(3)
- AD---- 4!=24 words
AO---- 4!=24 words....exceeds 42nd term
so,
ADO--- 3!=6 words
ADP--- 3!=6 words
ADS--- 3!=6 words
the last word of this combination will be 42nd word.
therfore the ans is ADSOPT - 11 years agoHelpfull: Yes(10) No(12)
- please explain how is TPD after AOS????? i think it should be DPT...
- 11 years agoHelpfull: Yes(9) No(4)
- plz koi thk se samjha do.................
- 11 years agoHelpfull: Yes(9) No(4)
- AOSDPT.....is the correct solution of this problem
- 11 years agoHelpfull: Yes(6) No(5)
- ADSOPT is the answer
- 11 years agoHelpfull: Yes(4) No(9)
- In alphabetical order : A D O P S T
A _ _ _ _ _ : the places filled in 5! ways = 120, But we need a rank less than 120. So the word starts with A.
A D _ _ _ _ : empty places can be filled in 4!=24
A O _ _ _ _ : the places filled with 4! ways = 24. If we add 24 + 24 this total crosses 42. So We should not consider all the words starting with AO.
A O D _ _ _ : 3!= 6
A O P _ _ _ : 3!=6
Till this 36 words are obtained, we need the 42nd word.
AOS _ _ _ : 3!= 6
Exactly we are getting the sum 42. So last 3 letters in the descending order are TPD.
So given word is AOSTPD
- 9 years agoHelpfull: Yes(4) No(2)
- 1. ADOPST
.
.
23. ADTSPO
24. AODPST
.
.
29. AOTSPD
30. AOPDST
.
.
35. AOPTSD
36. AOSDPT
.
.
41. AOSTPD
42. AOTDPS
ANS is AOTDPS - 11 years agoHelpfull: Yes(3) No(11)
- mr. ray 7 mr. paul, u r finding the 47th word as AOSTPD
but it is asked the 42nd word so it is simply AOSDPT - 10 years agoHelpfull: Yes(2) No(0)
- It's AOSTPD Ans.
- 11 years agoHelpfull: Yes(0) No(0)
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