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Q.

Number of positive integral solutions of xyz=24 is

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a

36 

b

27

c

30

d

20

answer is C.

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Detailed Solution

24= 2 3 ×3 α 1 + α 2 + α 3 =3  
Number of solutions = 5 C 2  
β 1 + β 2 + β 3 =1  Number of solutions = 3 C 2  
Total 10×3=30    
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