Aptitude - Permutation and Combination - Discussion
Discussion Forum : Permutation and Combination - General Questions (Q.No. 5)
5.
In how many ways can the letters of the word 'LEADER' be arranged?
Answer: Option
Explanation:
The word 'LEADER' contains 6 letters, namely 1L, 2E, 1A, 1D and 1R.
 Required number of ways = |
6! | = 360. |
| (1!)(2!)(1!)(1!)(1!) |
Video Explanation: https://youtu.be/2_2QukHfkYA
Discussion:
84 comments Page 3 of 9.
Achutharaj said:
1 decade ago
Hi poornima,
E is repeated in two times so we divided
leader -l,e,a,d,r ( e is repeted 2 times so considered single time)
6!=6x5x4x3x2x1/2x1=360
E is repeated in two times so we divided
leader -l,e,a,d,r ( e is repeted 2 times so considered single time)
6!=6x5x4x3x2x1/2x1=360
Sanjib said:
8 years ago
LEADER : totally 6 letters. so= 6!.
And vowel 3 letters (2->E and 1->A) so we can solve in this way : 6! /2!=6*5*4*3*2! /2!=360 (ans).
And vowel 3 letters (2->E and 1->A) so we can solve in this way : 6! /2!=6*5*4*3*2! /2!=360 (ans).
Dipankar Rabha said:
9 years ago
How did 360 come?
What is (1!)? What is the meant of this symbol? And can anyone provide the easy method for this type of problem?
What is (1!)? What is the meant of this symbol? And can anyone provide the easy method for this type of problem?
Lalit said:
1 decade ago
Helo frndz in this word LEADER thre r 6 leters in which 2 leters are repeted thats why we divide it by 2! and the ans is 6!/2!
Sandeep Bodamwad said:
4 years ago
Yes, the answer 360 is very correct, because there letter E is repeated. So the whole letters count will be 5. 1+2+3+4+5+ = 360
(1)
Shekhar said:
8 years ago
In how many ways can the letters of the word 'DIRECTOR', be arranged so that the vowels are never together? Please solve this.
Anand khakal said:
1 decade ago
Please explain following question I am not understand what is mean by 6! = 360?
(1!) (2!) (1!) (1!) (1!).
!- what is this?
(1!) (2!) (1!) (1!) (1!).
!- what is this?
Khan said:
9 years ago
In how many ways the letter of the word SAMPLE be arranged if all the latter are taken?
Please slove with formula.
Please slove with formula.
Suleman said:
1 decade ago
It is a permutation question, in which some letters are repeated so it can be solved as, ans = 6!/2! =720/2 = 360.
Tezan said:
1 decade ago
Why we take 6!/2! Whay we have not take vowel 3 and consonent 3. like (3+1)4
4!= 4*3*2*1= 24
3!/2!=3
24*3= 72
4!= 4*3*2*1= 24
3!/2!=3
24*3= 72
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