14.Probability
normal

If $7$ dice are thrown simultaneously, then probability that all six digit appears on the upper face is equal to -

A

$\frac{{35}}{{{6^3} \times 3}}$

B

$\frac{6}{{{}^{12}{C_5}}}$

C

$\frac{{70}}{{{6^3} \times 3}}$

D

$\frac{6}{{{}^{12}{C_6}}}$

Solution

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

Standard 11
Mathematics

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