In a class,there are 15 boys and 10 girls. Th | vedclass

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(A) Total number of students $= 15 + 10 = 25$. Number of ways to select $3$ students out of $25$ is given by ${}^{25}C_{3} = \frac{25 	imes 24 	imes

Vedclass · Accepted Answer

$\frac{21}{46}$

Vedclass · Answer

(A) Total number of students $= 15 + 10 = 25$. Number of ways to select $3$ students out of $25$ is given by ${}^{25}C_{3} = \frac{25 	imes 24 	imes 23}{3 	imes 2 	imes 1} = 2300$. Number of ways to select $1$ girl out of $10$ is ${}^{10}C_{1} = 10$. Number of ways to select $2$ boys out of $15$ is ${}^{15}C_{2} = \frac{15 	imes 14}{2 	imes 1} = 105$. Required probability $= \frac{{}^{10}C_{1} 	imes {}^{15}C_{2}}{{}^{25}C_{3}} = \frac{10 	imes 105}{2300} = \frac{1050}{2300} = \frac{21}{46}$.

In a class,there are $15$ boys and $10$ girls. Three students are selected at random. The probability that $1$ girl and $2$ boys are selected,is

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