From six boys and seven girls, find how many ways there are to select a group of three children that consists of more girls than boys.
Important Questions on Permutations and Combinations
A bag contains six red fuses, five blue fuses and four yellow fuses. Find how many ways there are to select:
three fuses of different colours
A bag contains six red fuses, five blue fuses and four yellow fuses. Find how many ways there are to select:
three fuses of the same colour
A bag contains six red fuses, five blue fuses and four yellow fuses. Find how many ways there are to select:
fuses in exactly two colours
A bag contains six red fuses, five blue fuses and four yellow fuses. Find how many ways there are to select:
nine fuses in exactly two colours.
Today's Activities:
| Morning | acting, painting or singing |
| Afternoon | swimming, tennis, golf or cricket |
| Evening | night hike, star gazing or drumming |
Afternoon swimming can be done at the pool or at the lake.
If children must choose three activities to fill their day, how many sets of three activities are there to choose from?
Ten cars are to be parked in a car park that has parking spaces set out in two rows of Find how many different patterns of unoccupied parking spaces are possible if:
the cars can be parked in any of the spaces
Ten cars are to be parked in a car park that has parking spaces set out in two rows of Find how many different patterns of unoccupied parking spaces are possible if:
the cars are parked in the same row
