Prita buys a box of sparklers that contains 23 sparklers, out of which only 11 work properly, 7 do not work at all, and the rest light but do not sparkle. Suppose Prita randomly chooses 7 sparklers to take to an outdoor celebration.
a. How many different ways could she select the 7 sparklers?
b. What is the probability that exactly 4 of the selected sparklers work properly?
c. What is the probability that more than 1 of the selected sparklers work properly?
Provide answers rounded to at least SIX digits after the decimal if necessary.