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Question

Three numbers are chosen at random without replacement the probability that the minimum of the chosen numbers is 3 or their maximum is 7 is

A
1120
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B
140
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C
1340
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D
115
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Solution

The correct option is B 140
Number of elements in sample space =10C3=120

According to the question 3 & 7 must get chosen and the third no. should be between them (i.e 4 or 5 or 6) as per condition .

So, no of favorable cases 3C1=3

Therefore required probability =3120=140

Hence, the option B is the correct answer.

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