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The letters of the word TUESDAY are arranged in a row at rando

Question

The letters of the word $T U ES D A Y$ are arranged in a row at random. The probability that vowels may be in the odd places is

\frac{4}{35}

\frac{5}{28}

\frac{1}{7}

\frac{1}{30}

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The letters of the word

T U ES D A Y

are arranged in a row at random. The probability that vowels may be in the odd places is

7 mins ago

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7 mins ago

Text solutionVerified

TUESDAY

vowels V, E, A

No. of odd places

= 4

Probability

= \frac{^{4} C _{3} \times 3 ! \times 4 !}{7 !} = \frac{4 \times 6 \times 24}{120 \times 6 \times 7} = \frac{4}{35}

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Question Text	The letters of the word $T U ES D A Y$ are arranged in a row at random. The probability that vowels may be in the odd places is
Answer Type	Text solution:1
Upvotes	150