A Math Student Is Interested in Counting the Number of Jelly

Multiple Choice

A math student is interested in counting the number of jelly beans in a jar. The student opens the jar and removes 32 jelly beans. She places a distinctive mark on each bean and places it back in the jar. After thoroughly shaking the jar, she reaches in and removes 54 jelly beans of which 17 are marked. Using the techniques of capture-mark-recapture, estimate the number of jelly beans in the jar. Give Your answer rounded to the nearest whole number.

A) 102
B) 270
C) 286
D) 29376
E) None of the above.