AAPL wrote:e-GMAT
In how many ways a cricket team consisting of 5 batsmen, 4 bowlers, and 1 wicketkeeper and 1 all-rounder can be selected from the pool of 7 batsmen, 6 bowlers, 3 wicketkeepers and 3 allrounders?
A. 567
B. 1420
C. 2256
D. 2835
E. 5670
From 7 batsmen, the number of ways to choose 5 = 7C5 = (7*6*5*4*3)/(5*4*3*2*1) = 21.
From 6 bowlers, the number of ways to choose 4 = 6C4 = (6*5*4*3)/(4*3*2*1) = 15.
From 3 wicketkeepers, the number of ways to choose 1 = 3.
From 3 allrounders, the number of ways to choose 1 = 3.
To combine these options, we multiply:
21*15*3*3 = integer with a units digit of 5.
The correct answer is
D.
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