if the letters of the word RUBLE are permuted
in all possible ways and the words thus
formed are arranged in the dictionary order,
then the rank of the word 'LUBER'
Answers
=242
Step-by-step explanation:
Words starting with A →
A 5 4 3 2 1
C
1
=5!
Words starting with B →
B
C
2
=5!
→ Next letter in the dictionary will be L.
The letters following it in the dictionary are A, B and O in order.
→ So, the first word starting with L will be LABORU
→ The one following it will be LABOUR
So, the rank of the word LABOUR is
C
1
+C
2
+1+1
=5!+5!+1+1
=120+120+1+1
=242
Ans =242
Answer:
The rank of the word LUBER = 67.
Step-by-step explanation:
Permutation:
- A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matter.
Types of Permutations:
- Permutation where repetition is not allowed.
- Permutation where repetition is allowed.
- Permutation of objects that are not allowed.
- Circular Permutations
Given letters of a word is RUBLE
Now we need to find the Rank of LUBER
Now we can write the word RUBLE in Alphabetical order as BELRU
To get the word LUBER
We need to find the permutations of words according to the dictionary order which is alphabetical order.
We know that,
No. of ways of arranging 'n' things = n!
No. of ways of arranging words starting with the letter B is
B _ _ _ _ = 4! = 24
No. of ways of arranging words starting with the letter E is
E _ _ _ _ = 4! = 24
No. of ways of arranging words starting with the letter B is
L B _ _ _ = 3! = 6
No. of ways of arranging words starting with the letter B is
L E _ _ _ = 3! = 6
No. of ways of arranging words starting with the letter B is
L R _ _ _ = 3! = 6
No. of ways of arranging words starting with the letter B is
LUBER = 1! = 1
Now add all the above value to get the rank of the word LUBER
Rank = 24 + 24 + 6 + 6 + 6 + 1 = 67
Know more about Permutation and Combination:
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