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Mathematics Question on permutations and combinations

If p and q are positive integers such that p+qP2=42 and p−qP2=20^{p+q}P_2=42\ and\ ^{p-q}P_2=20, then the values of p and q respectively

A

5,2

B

4,3

C

7,2

D

6,1

E

7,5

Answer

6,1

Explanation

Solution

The correct option is (D): 6,1