alleryFrom 10 boys and 8 girls, a committee of 5 is to be formed with exactly 3 boys. Number of ways:
A10C3 × 8C2 = 120 × 28 = 3360
B10 × 8
C18C5
D10C3
Answer & Solution
Correct answer: A. 10C3 × 8C2 = 120 × 28 = 3360
Choose 3 boys from 10 AND 2 girls from 8 (5 total).
**Multiplication principle:** C(10,3) × C(8,2) = 120 × 28 = 3360.
Keep practising CAT QA — Mixed
Browse all CAT QA — Mixed questions for CAT, or explore more Quantitative Aptitude topics.
Related questions
Pythagorean triplet (3, 4, ?): missing value:Volume of a cylinder with radius 3 and height 10:Circumference of circle with radius 7:Geometry: Area of equilateral triangle with side 6 cm:Remainder when 7^100 is divided by 5:If log_2(x) = 5, then x =Log base 10 of 1000:Sum and product of roots of x² + 7x + 12 = 0: