The number of distinct rational numbers of the form p - q- where p - q -1-2-3-4-5-6 isA- 23B- 36C- 32D- 28

The correct option is A 23p =1, q =1,2,3,4,5,6 ⇒ 6 p=2, q=1,3,4,5,6 ⇒ 3 [∵(2,4), (2,6)] p=3, q=1,2,4,5,6 ⇒ 4 [∵ (3,6)] p=4, q=1,3,5,6 ⇒ 3 [∵ (4,6)] p=5, q= ...

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Standard XI

Mathematics

Fundamental Principle of Counting

The number of...

Question

The number of distinct rational numbers of the form p/q, where p,q $ϵ$ {1,2,3,4,5,6} is

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Solution

The correct option is A 23
$p = 1, q = 1, 2, 3, 4, 5, 6 \Rightarrow 6 p = 2, q = 1, 3, 4, 5, 6 \Rightarrow 3 [∵ (2, 4), (2, 6)] p = 3, q = 1, 2, 4, 5, 6 \Rightarrow 4 [∵ (3, 6)] p = 4, q = 1, 3, 5, 6 \Rightarrow 3 [∵ (4, 6)] p = 5, q = 1, 2, 3, 4, 6 \Rightarrow 5 p = 6, q = 1, 5 \Rightarrow 2$

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The number of distinct rational numbers of the form p/q, where p,q ϵ {1,2,3,4,5,6} is

The correct option is A 23p=1,q=1,2,3,4,5,6⇒6p=2,q=1,3,4,5,6⇒3[∵(2,4),(2,6)]p=3,q=1,2,4,5,6⇒4[∵(3,6)]p=4,q=1,3,5,6⇒3[∵(4,6)]p=5,q=1,2,3,4,6⇒5p=6,q=1,5⇒2

The number of distinct rational numbers of the form p/q, where p,q $ϵ$ {1,2,3,4,5,6} is