AHSME 1980 Problem 20

A box contains $2$ pennies, $4$ nickels, and $6$ dimes. Six coins are drawn without replacement, with each coin having an equal probability of being chosen. What is the probability that the value of coins drawn is at least $50$ cents? $\text{(A)} \ \frac{37}{924} \text{(B)} \ \frac{91}{924} \text{(C)} \ \frac{127}{924} \text{(D)}\ \frac{132}{924} \text{(E)}\ \text{none of these}$