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in Mathematics by (67.9k points)

The total number of distinct rational numbers x such that 0 < x < 1 and x = p/q  where p,q∈{1,2,3,4,5,6} is

(a)  15

(b)  13

(c)  11

(d)  None of these

1 Answer

+1 vote
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Best answer

Correct option  (c) 11

Explanation:

Values of p Possible rational numbers
1 1/2,1/3,1/4,1/5,1/6
2 2/3,2/4,2/5,2/6
3 3/4,3/5,3/6
4 4/5,4/6
5 5/6

Out of 15 possible rational numbers, only 11 are distinct. 

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