Mathematics: CALCULATE ANGLES USING LINE AND ANGLE RELATIONSHIPS:) will mark b for right answer

CALCULATE ANGLES USING LINE AND ANGLE RELATIONSHIPS:)

taseem001

30.06.2022

The size of the sample is 840.

The probability that the first three letters of the four-letter code are vowels is $=\frac{1}{35}$

Step-by-step explanation:

Th total number of letters given to form code of 4 letters = 7

Since, the order of the letters in the code matters, which means there is no repetition.

The total number of ways to form the code size = 7*6*5*4=840

Therefore, The size of the sample is 840.

Since, there are 3 vowels and rest of 4 letters are consonant.

The number of ways to form code such that the first three letters of the four-letter code are vowels = $3\times2\times1\times4=24$

The probability that the first three letters of the four-letter code are vowels is

= $\frac{24}{840}=\frac{1}{35}$

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