Question

The letters in the word "places" are permuted in all possible ways and arranged in the alphabetical order.find the word at 48 position. a)aespcl b)alceps c)alscep d)aesplc

Answer 1

The letters in the word "places" are permuted in all possible ways and arranged in the alphabetical order.

total permutations= 6! = 720

720/6 = 120 words,
first 120 will start with letter a. So 48th letter will start with a.

So FIRST LETTER IS A.

if we keep a in first place, we will have 5! permutations with c,e,l,p and s.

5!/5 = 120/5 = 24 words.
First 24 words(0-24) will be with first two letters as AC
Next 24 words(25-48) will be with first two letters as AE.
So 48th word has first two letters as AE.

48th letter is the last word with first two letters as AE.

So rest of the letters of the word will be arranged from last to first: S-P-L-C

So 48th word is AESPLC

Answer 2

Answer:THE ANSWER IS AESPLC

Step-by-step explanation:

PLACES      

alphabatic order is ;  A E S P L C

the number of words startwith A  is A 5 4 3 2 1=126

A is the first term

the number of terms start with AC 4 3 2 1 =24

the number of words start with  AE 4 3 2 1= 24

                                                                          =48 SO STOP HERE

THE first leters in the 48 th word is AE then write after all are in the order of alfabatic order then we get AECLIPS

 BUT WE HAVE TO DO one thing here arengethe word CLIPS

IS IN OPOSITE AS   SPILC .

THEN THE FINAL ANSWER IS

(AESPLC)