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Question

Question: If <sup>56</sup>P<sub>r+6</sub>: <sup>54</sup>P<sub>r+3</sub> = 30800:1, then r =...

If 56Pr+6: 54Pr+3 = 30800:1, then r =

A

31

B

41

C

51

D

None of these

Answer

41

Explanation

Solution

$$= $\frac{30800}{1}$⇒ 56 x 55 x (51-r) = 30800 ⇒ r = 41.