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Long Division Method

From 10 per...

Question

From $10$ persons waiting in a queue, in how many ways can a selection of $6$ be made so that a specified person is always excluded?

A

126

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B

84

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C

94

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D

125

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Solution

The correct option is B $84$
Total number of person $= 10$
Number of person to be selected $= 6$
Hence a specified person is always excluded
$= 1 \times^{9} C_{6} = 84$
Hence the correct answer is $84$

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