Permutations And Combinations Question 251

Question: Four dice (six faced) are rolled. The number of possible outcomes in which at least one die shows 2 is

Options:

A) 1296

B) 625

C) 671

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • The number of possible outcomes with 2 on at least one die = (The total number of outcomes) - (The number of outcomes in which 2 does not appear on any die) $ 6^{4}-5^{4}=1296-625=671 $ .