Question
A selection of 7 cars must be made from a total of 13
cars for an exhibition. However, one specific car must always be included in the selection. If the cars are chosen one by one, determine the total number of ways in which this selection can be made.Solution
Since, 1 car is always chosen, therefore, 6 cars has to be chosen out of 12 cars. Therefore, number of ways of choosing the cars = 12C6 = 12!/{6! × (12 – 6)!} = 924 Required number of ways for the exhibition of cars = 924 × 7!
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 Â Â Â 60Â Â Â 12Â Â Â ? Â Â Â Â 1.44Â Â Â Â 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, ?
