At random all the letters of the word "ARTICLE" are arranged in all possible ways. The probability that the arrangement begins with vowel and ends with a consonant is

1 / 7

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2 / 7

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3 / 7

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4 / 7

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Solution

The correct option is B $2 / 7$
The total no. of ways of arranging is $7!$ ways
The first space has $3$ chances
The last space has $4$ chances
The middle spaces are filled in $5!$ ways
The no.of ways are $3 \times 4 \times 5!$ ways
Probability $= \frac{3 \times 4 \times 5!}{7!} = \frac{2}{7}$

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At random all the letters of the word "ARTICLE" are arranged in all possible ways. The probability that the arrangement begins with vowel and ends with a consonant is

The correct option is B 2/7The total no. of ways of arranging is 7! waysThe first space has 3 chancesThe last space has 4 chancesThe middle spaces are filled in 5! waysThe no.of ways are 3×4×5! waysProbability=3×4×5!7!=27

The correct option is B $2 / 7$
The total no. of ways of arranging is $7!$ ways
The first space has $3$ chances
The last space has $4$ chances
The middle spaces are filled in $5!$ ways
The no.of ways are $3 \times 4 \times 5!$ ways
Probability $= \frac{3 \times 4 \times 5!}{7!} = \frac{2}{7}$