MCQ
If $7$ dice are thrown simultaneously, then probability that all six digit appears on the upper face is equal to -
- ✓$\frac{{35}}{{{6^3} \times 3}}$
- B$\frac{6}{{{}^{12}{C_5}}}$
- C$\frac{{70}}{{{6^3} \times 3}}$
- D$\frac{6}{{{}^{12}{C_6}}}$
✓
Answer
Correct option: A.
$\frac{{35}}{{{6^3} \times 3}}$
a
$\frac{{{\,^6}{C_1} \times 7!}}{{{6^7} \times 2!}} = \frac{{35}}{{{6^3} \times 3}}$
$\frac{{{\,^6}{C_1} \times 7!}}{{{6^7} \times 2!}} = \frac{{35}}{{{6^3} \times 3}}$
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