SOLUTION: 1. Evaluate 5C3 × 10C2
2. Solve for n, nP6 = nP4 × 4P2
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Question 1202426: 1. Evaluate 5C3 × 10C2
2. Solve for n, nP6 = nP4 × 4P2
Answer by greenestamps(13215) (Show Source): You can put this solution on YOUR website!
1. This is simply a calculation; there should be no need for you to ask us to do it for you....
2. nP6 = nP4 × 4P2
This can be solved by inspection. (n-5) and (n-4) are two consecutive integers whose product is 12, so they are 3 and 4; that makes n = 8.
ANSWER: n = 8
Using formal algebra....
or
Reject the solution n=1, because the expressions 1P6 and 1P4 are undefined.
ANSWER (again): n=8
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