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permutation and combination — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSpermutation and combination1 Mark
MCQ
Four dice (six faced) are rolled. The number of possible outcomes in which at least one die shows $2$ is
  • A
    $1296$
  • B
    $625$
  • ✓
    $671$
  • D
    None of these
✓

Answer

Correct option: C.
$671$
c
(c) 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) ${6^4} - {5^4} = 1296 - 625 = 671$.

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