find the rank of TABLE
Answers
Answer:
If the letters of the word table are permuted in all possible ways and the words formed are arranged in the dictionary order, what is the rank of the words “TABLE” and “BLEAT”?
The dictionary order of the letters of given word is A, B, E, L, T. In the dictionary order of the words
which begin with A come first. If we fill the first place with A, remaining 4 letters (B, E, L, T) can
be arranged in 4! ways. On proceeding like this we get
(i) The rank of the word TABLE
A − − − − = 4! = 24 ways
B − − − − = 4! = 24 ways
E − − − − = 4! = 24 ways
L − − − − = 4! = 24 ways
T ABEL = 1 way
T ABLE = 1 way
The rank of the word TABLE is 4 × 4! + 1 + 1 = 98.
(ii) The rank of the word BLEAT
A − − − − = 4! = 24 ways
BA − −− = 3! = 6 ways
BE − −− = 3! = 6 ways
BLA − − = 2! = 2 ways
BLEAT = 1 way
The rank of the word BLEAT is 24 + 6 + 6 + 2 + 1 = 39.
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Step-by-step explanation:
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Answer:
Rank of TABLE= 98
Rank of BLEAT= 39
Step-by-step explanation:
Words starting with A = 4!
Words starting with B = 4!
Words starting with E = 4!
Words starting with L = 4!
Words starting with TABEL = 1
Words starting with TABLE = 1
Therefore, rank of TABLE = 4•4!+1+1 =98.
Words starting with A = 4!
Words starting with BA = 3!
Words starting with BE = 3!
Words starting with BLA = 2!
Words starting with BLEAT = 1
Therefore, rank of BLEAT= 4!+3!+3!+2!+1
=24+6+6+2+1
=39.