The number of different choices of eleven questions that a student can make on an exam with sixteen questions is 4,096.
This number can be calculated by the combination formula. The combination formula is used to calculate the number of combinations of a certain size that can be made from a larger set. In this case, the larger set is sixteen questions and the smaller set is eleven questions. The combination formula, written as C (n,r) is equal to n! / (r! (n-r)!), where n is the size of the larger set and r is the size of the smaller set. Applying this formula to the problem at hand, 16! / (11! (16-11)!), yields 4,096.
There are sixteen cards, and eleven of them must be chosen, so the number of different choices for eleven questions is 4,096.
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