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Permutation and Combination - Quant/Math - CAT 2016

Question 4 the day: September 02, 2003

The question for the day is from the topic Permutation and Combination.

When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?

(1) 155
(2) 620
(3) 671
(4) 625
Correct Answer - (3)


When 4 dice are rolled simultaneously, there will be a total of 64 = 1296 outcomes.

The number of outcomes in which none of the 4 dice show 3 will be 54 = 625 outcomes.

Therefore, the number of outcomes in which at least one die will show 3 = 1296 625 = 671

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