In how many distinct ways can a committee of 3 students be chosen from a group of 8 eligible candidates?
Answer and explanation
Correct answer: D. 56
- Step 1: Use combinations since selection order does not matter: C(n, r) = n! / [r!(n - r)!].
- Step 2: Calculate C(8, 3): (8 7 6) / (3 2 1) = 336 / 6 = 56.
Answer
56.
Why not the others: Option 336 computes permutations P(8, 3) = 876, which assumes order matters. Option 24 calculates 8 * 3. Option 112 doubles the correct combination count.
Practise more Quantitative Reasoning and Algebra.
Free questions with an explanation for every one, and full timed University of Bahrain Aptitude Test (UOB Aptitude) mock tests.
More Quantitative Reasoning and Algebra questions
- Solve for x in the linear equation: 3(2x - 5) - 4(x + 2) = 7.
- If a store increases the price of an electronic device by 20% and later discounts the new price by 25%, what is the overall percentage chang…
- Find the solution set for the absolute value inequality: |2x - 7| <= 9.
- Solve the quadratic equation for real roots: 2x^2 - 5x - 12 = 0.
- If 5 workers can build a wall in 12 days, how many days will 6 workers take to build the identical wall working at the same pace?
- Simplify the algebraic rational expression: (x^2 - 16) / (x^2 + 7x + 12).