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Probability

Three letters...

Question

Three letters are drawn from alphabets of 26 letters without replacement. The probability that letter appear orderly is

A

\frac{1}{^{26} C_{3}}

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B

\frac{^{23} C_{1}}{^{26} C_{3}}

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C

\frac{1}{6}

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D

\frac{1}{2}

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Solution

The correct option is D $\frac{1}{6}$
$T o t a l n u m b e r o f w a y s 3 l e t t e r s c a n b e s e l e c t e d 3! = 6 O n l y o n e o u t o f 6 w a y w i l l b e i n o r d e r e d f o r m T h e r e f o r e P = \frac{1}{6}$

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