Aptitude - Permutation and Combination - Discussion

Discussion Forum : Permutation and Combination - General Questions (Q.No. 5)

Permutation and Combination

In how many ways can the letters of the word 'LEADER' be arranged?

144

360

720

None of these

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!)

Discussion:

84 comments Page 4 of 9.

Gowtham said: 8 years ago

@Khan.

The word SAMPLE has 6 letters so we apply the formula in 6!= 720 ways can we arranged.

Am I Right?

Gopal said: 1 decade ago

I have a similar doubt,

I have 2 each of 24 different colors, how many 12 color combinations are possible?

Sam said: 1 decade ago

Leader has 6 letters so it can be arranged in 6! ways but letter e is repeated twice so ans is 6!/2!=360.

Abhishek said: 1 decade ago

Why not 5! * 2!? because E is repeated so now consider 5 letters so 5! and E is repeated twice so 2! ??

Rasi said: 4 years ago

Hey guys!

LEADER = 6! =720
(E E) = 2! = 2

Now divide,
720/2 = 360.

Now it is clear right?

(26)

Shivaraj kavalaga said: 9 years ago

@Savitri and @Divya.

Don't go that method because you'll get big confusion in solving big problems.

Julius said: 6 years ago

In how many ways can the word obasanjo be arranged so that the vowels will never come together.

(4)

Pri said: 1 decade ago

Actually 6 letter so we got 6*5*4*3*2*1= 720 but e 2 time repeated so we divided 720/2=360.

Lavanya said: 8 years ago

Without mentioning why did they do with repetition.

Why can't we do without repetition?

Tanaya said: 1 decade ago

I have query that all these problems belong to combination and not permutation section?

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