Perform the indicated calculation.
\[
\frac{{ }_{8} C_{4}}{{ }_{11} C_{4}}
\]
$\frac{{ }_{8} \mathrm{C}_{4}}{{ }_{11} \mathrm{C}_{4}}=$
(Round to the nearest thousandth as needed.)

Answer

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Answer

The ratio of the two combinations is $\boxed{0.212}$.

Steps

Step 1 ：The question is asking for the ratio of two combinations. The combination formula is defined as: $nCr = \frac{n!}{r!(n-r)!}$ where n is the total number of items, r is the number of items to choose, and ! denotes factorial.

Step 2 ：So, we need to calculate the combination of 8 choose 4 and 11 choose 4, then divide the first by the second.

Step 3 ：The ratio of the two combinations is $\boxed{0.212}$.

Perform the indicated calculation.\[\frac{{ }_{8} C_{4}}{{ }_{11} C_{4}}\]$\frac{{ }_{8} \mathrm{C}_{4}}{{ }_{11} \mathrm{C}_{4}}=$(Round to the nearest thousandth as needed.)

Answer

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Perform the indicated calculation.
\[
\frac{{ }_{8} C_{4}}{{ }_{11} C_{4}}
\]
$\frac{{ }_{8} \mathrm{C}_{4}}{{ }_{11} \mathrm{C}_{4}}=$
(Round to the nearest thousandth as needed.)