5 words are to be paired with the correct 5 out of 15 possible definitions.How many ways are there of guessing?
A)3,003
B)6,006
C)2,703
D)2,102
E)2,402

Question

Quizplus · Accepted Answer

The number of ways to pair 5 words with 5 definitions out of 15 is given by the combination formula C(15,5) multiplied by the number of permutations of the 5 definitions, which is 5!. So, C(15,5) = 3003 and 5! = 120, thus 3003 * 120 = 360360. However, since the question asks for guessing, we only consider the number of ways to choose 5 definitions from 15, which is C(15,5) = 3003.

5 Words Are to Be Paired with the Correct 5