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
84, 97, ?, 162, 214, 279
In each of the following number series, one term is missing. Find the missing term.
4, 9, 16, 25, 36, ?
71, 79, 88, 152, ?, 393
What will come in place of (?) question mark in the given number series.
12, 27, 44, 65, ?, 139
4 11 22 ? 56 79 106
...- What will come in place of the question mark (?) in the following series?
1, 9, 35, 91, 189, ? 15.5, 62, 186, ?, 2232, 8928
600 60 12 ? 1.44 0.72
9 14 38 129 ? 2705 16260
...In each of the following series, one term is missing. Find the missing term.
2, 5, 11, 23, 47, ?