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Q.

Number of ordered triplets of natural number (a,b,c)  for which abc≤11  is

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a

52

b

53

c

55

d

56

answer is D.

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Detailed Solution

abc = 1 in 1 ways 
abc = 2, 3, 5, 7, 11 in 15 ways 
abc = 4, 9 in 12 ways 
abc = 8 in 10 ways 
abc = 6, 10 in 18 ways 
So, total number of solution is 56

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