Saved Bookmarks
| 1. |
An engineer is required to visit a factory for exactly four days during the first 15 days of every month and it is mandatory that no two visits take place on consecutive days. Then the number of all possible ways in which such visits to the factory can be made by the engineer during 1-15 June 2021 is_____. |
|
Answer» ber of remaining days = 15 - 4 = 11 daysnumber of GAPE = number of remaining days + 1= 11 + 1 = 12now we have to arrange 4 days in 12 gape i.e., ¹²C₄ = 12!/(4! × 8!)= 12 × 11 × 10 × 9/24= 11 × 5 × 9= 495Then the number of all possible ways in which such visits to the factory can be MADE by the engineer during 1-15 June 2021 is 495 |
|