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One good one is that xC1 = xC(x-1) = x

This can save time and scribblings in combinations questions.

by deirdre

Thu May 14, 2009 7:21 am
Forum: GMAT Math
Topic: What's YOUR favorite GMAT Quantitative shortcut?
Replies: 21
Views: 6374

An essentially similar way is to consider all the possible 4-digit combinations then to subtract those which begin with zero.

Total: 4C2 x (1C1)^2 x (9C1)^2 = 6x1x1x9x9 = 486

Beginning with 0: 1C1 x 3C2 x (1C1)^2 x 9C1 = 1x3x1x1x9 = 27

Ans: 486-27 = 459

by deirdre

Thu May 14, 2009 7:17 am
Forum: Problem Solving
Topic: '3' exactly twice
Replies: 22
Views: 4558