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!
More Permutation and combination Questions
- Which letter and number cluster will replace the question mark (?) to complete the given series?
LT6, KU12, IW24, FZ48, ____ - Which letter-cluster will replace the question mark (?) in the following series?
RGV, UME, ?, AYW, DEF - Which letter-cluster will replace the question mark (?) in the following series?
NPQR, OORQ, PNSP, ____, RLUN - A series is given with one term missing. Choose the correct alternatives from the given ones that will complete the series.
57, 59, 56, 61, 54, ___ - Select the number from among the given options that can replace the question mark (?) in the following series.
17, 18, 22, 31, 47, ___
