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Question

The number of distinct rational numbers x such that 0<x<1 and x=pqr, where p,qϵ{1,2,3,4,5,6},is
  1. 15
  2. 11
  3. 13
  4. 12

A
15
B
11
C
13
D
12
Solution
Verified by Toppr

Since total number of digits =6
So to get a number of a number of the form pq we will have to choose two numbers out of the 6 numbers.
There is only one way to arrange them since the number x has to satisfy 0 Hence no. x=(62)×1=15, but some numbers have to be removed because they are repeated.
They are :
24=1246=2326=1336=12
Thus the number of removed numbers=4
Therefore, total no. of distinct x=154=11
Hence, option 'D' is correct.

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