GATE_AE_2027_MOCK_04_Q08
GATE 2027 Aerospace Engineering All-India Master Mock 04 (Aerospace Structures, Thin-Walled Beams & Aeroelasticity)
MCQ · 2 Marks
General Aptitude • Quantitative Aptitude • Permutations, Combinations & Probability
From a panel of 4 structures engineers and 3 aerodynamicists, a committee of 3 members is to be formed. What is the probability that the committee consists of exactly 2 structures engineers and 1 aerodynamicist?
(A) 18/35
(B) 12/35
(C) 6/35
(D) 4/7
Answer Key:
A
Step-by-Step Verified Solution
### Solution: Total ways to choose 3 from 7: C(7, 3) = (7*6*5)/(3*2*1) = 35. Ways to choose 2 structures from 4 and 1 aero from 3: C(4, 2) * C(3, 1) = 6 * 3 = 18. Probability = 18/35. Correct: A.