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# What is the value of 1*1! + 2*2! + 3*3! + ............ n*n!,

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Director
Joined: 27 Jun 2005
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Location: MS
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What is the value of 1*1! + 2*2! + 3*3! + ............ n*n!, [#permalink]  08 Nov 2005, 09:12
What is the value of 1*1! + 2*2! + 3*3! + ............ n*n!,

where n! means n factorial or n(n-1)(n-2)...1 (1) n(n-1)(n-1)!

(A) n(n-1)(n-1)!
(B) (n+1)!/(n(n-1))
(C) (n+1)! - n!
(D) (n + 1)! - 1!
Director
Joined: 27 Jun 2005
Posts: 515
Location: MS
Followers: 2

Kudos [?]: 28 [0], given: 0

Number of different Music albums [#permalink]  08 Nov 2005, 09:19
There are 5 Rock songs, 6 Carnatic songs and 3 Indi pop songs. How many different albums can be formed using the above repertoire if the albums should contain at least 1 Rock song and 1 Carnatic song?

(A) 15624
(B) 16384
(C) 6144
(D) 240
(E) 14876
VP
Joined: 22 Aug 2005
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Location: CA
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Re: 1*1! + 2*2! + 3*3! ....Value [#permalink]  08 Nov 2005, 09:21
cool_jonny009 wrote:
What is the value of 1*1! + 2*2! + 3*3! + ............ n*n!,

where n! means n factorial or n(n-1)(n-2)...1 (1) n(n-1)(n-1)!

(A) n(n-1)(n-1)!
(B) (n+1)!/(n(n-1))
(C) (n+1)! - n!
(D) (n + 1)! - 1!

a few days back our friend laxieqv gave good solution:
http://www.gmatclub.com/phpbb/viewtopic.php?t=22194
SVP
Joined: 28 May 2005
Posts: 1743
Location: Dhaka
Followers: 6

Kudos [?]: 72 [0], given: 0

Re: 1*1! + 2*2! + 3*3! ....Value [#permalink]  08 Nov 2005, 09:37
cool_jonny009 wrote:
What is the value of 1*1! + 2*2! + 3*3! + ............ n*n!,

where n! means n factorial or n(n-1)(n-2)...1 (1) n(n-1)(n-1)!

(A) n(n-1)(n-1)!
(B) (n+1)!/(n(n-1))
(C) (n+1)! - n!
(D) (n + 1)! - 1!

got D. thans to laxieqv and GMATT73
_________________

hey ya......

SVP
Joined: 28 May 2005
Posts: 1743
Location: Dhaka
Followers: 6

Kudos [?]: 72 [0], given: 0

Re: Number of different Music albums [#permalink]  08 Nov 2005, 09:47
cool_jonny009 wrote:
There are 5 Rock songs, 6 Carnatic songs and 3 Indi pop songs. How many different albums can be formed using the above repertoire if the albums should contain at least 1 Rock song and 1 Carnatic song?

(A) 15624
(B) 16384
(C) 6144
(D) 240
(E) 14876

hey what is the maximum number of songs that you can have in one album.
_________________

hey ya......

Re: Number of different Music albums   [#permalink] 08 Nov 2005, 09:47
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