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In the following situation, determine whether you are asked to determine the number of permutations or combinations. Then do the calculation.
How many ways are there to distribute 8 different books among 21 children if no child gets more than one book?
a.
Combination; Subscript 13 Baseline C Subscript 8 Baseline = 1287
b.
Combination; Subscript 21 Baseline C Subscript 8 Baseline = 203,490
c.
Permutation; Subscript 21 Baseline P Subscript 8 Baseline = 8,204,716,800
d.
Permutation; Subscript 13 Baseline P Subscript 8 Baseline = 51,891,840