The probability of forming a 12 persons committee from 4 engineer… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 4 April, Shift 1Probability Basics

The probability of forming a $12$ persons committee from $4$ engineers, $2$ doctors, and $10$ professors containing at least $3$ engineers and at least $1$ doctor is:

A
$\frac{129}{182}$
B
$\frac{103}{182}$
C
$\frac{17}{26}$
D
$\frac{19}{26}$

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