If 7 dice are thrown simultaneously, then probability that all si… - Vidyadip

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
$\frac{{{\,^6}{C_1} \times 7!}}{{{6^7} \times 2!}} = \frac{{35}}{{{6^3} \times 3}}$

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