Question
An examinee is required to answer the eight questions
out of 16 questions which are divided into two groups each containing eight questions each and he is not permitted to answer more than six questions from any group. In how many ways can he answer the eight questions?Solution
Required number of ways = (⁸C6 × ⁸C₂ + ⁸C5 × ⁸C₃ + ⁸C4 × ⁸C4 + ⁸C₃ × ⁸C5 + ⁸C₂ × ⁸C6) = (28 × 28 + 56 × 56 + 70 × 70 + 56 × 56 + 28 × 28) = 12,740
More Permutation and combination Questions
17.5% of 400 – 24% of 150 = ?
- Find the simplified value of the given expression.
(54/6) × 5 + 12 × (17/2) = ?% of 700
(2/5)(32% of 4500 – 440) = ? × 8
3/4 of 2000 + √1024 = ? + 12.5% of 3200
(92.03 + 117.98) ÷ 14.211 = 89.9 – 30.23% of ?
8 × 9 + ? – 6 × 11 = 12 × 8
128 ÷ 22 × ? = 15% of 300 ÷ 9
Find the Value of √(-√3+√(3+8√(7+4√3)))?
If 840 ÷ 12 + 1025 ÷ 25 - n + 45 × 4 = 960 ÷ 16 × 132 ÷ 44, then the value of n is:
