the 7 marbles be ordered?

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Tue Oct 18, 2011 3:31 am

There are 7 marbles-2 black, 3 white, and 2 red, but otherwise not distinguishable. In how many different ways can the 7 marbles be ordered?
(A) 84
(B) 140
(C) 210
(D) 280
(E) 5,040

The mind is everything. What you think you become. -Lord Buddha

Sanjeev K Saxena
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The Princeton Review - Manya Abroad
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Source: Beat The GMAT — Problem Solving | Tue Oct 18, 2011 3:31 am

shankar.ashwin: Legendary Member; Posts: 966; Joined: Sat Jan 02, 2010 8:06 amFollowed by: 21 members; Thanked: 230 times

by shankar.ashwin » Tue Oct 18, 2011 3:50 am

7!/3!2!2!= 210
C

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