In your piggy bank, you have 15 quarters, 2 dimes, 1 nickel and 32 pennies. You tip the bank, and out rolls one, then another , then another coin. Find the probability that the coins came out as the follows:
a) 1 penny, 1 quarter, 1 dime
b) 1 penny, 1 quarter, 1 penny
Please show work. Thank You!