Assume that there are n tyres that could be used by
car, tricycle and bicycle. Write a program to accept n
tyres and generate all the combinations (i.e. the
number) of car(s), tricycle(s) and bicycle(s) that could
exhaust the n tyres. Ensure that all the objects have
fair share where possible. using python lang
Here's a step-by-step guide to writing a Python program that generates all the combinations of car(s), tricycle(s), and bicycle(s) using a given number of tires:
Step 1: Accept the total number of tires from the user
```python
n = int(input("Enter the number of tires: "))
```
Step 2: Define variables to keep track of the number of car(s), tricycle(s), and bicycle(s)
```python
num_cars = 0
num_tricycles = 0
num_bicycles = 0
```
Step 3: Use a loop to generate all possible combinations of objects
```python
while n > 0:
if n >= 4:
num_cars += 1
n -= 4
elif n >= 3:
num_tricycles += 1
n -= 3
elif n >= 2:
num_bicycles += 1
n -= 2
else:
break
```
Step 4: Print the final results
```python
print("Number of cars:", num_cars)
print("Number of tricycles:", num_tricycles)
print("Number of bicycles:", num_bicycles)
```
Here's the complete program:
```python
n = int(input("Enter the number of tires: "))
num_cars = 0
num_tricycles = 0
num_bicycles = 0
while n > 0:
if n >= 4:
num_cars += 1
n -= 4
elif n >= 3:
num_tricycles += 1
n -= 3
elif n >= 2:
num_bicycles += 1
n -= 2
else:
break
print("Number of cars:", num_cars)
print("Number of tricycles:", num_tricycles)
print("Number of bicycles:", num_bicycles)
```
Hope this helps!
To solve this problem in Python, we can use nested loops to generate all possible combinations of cars, tricycles, and bicycles that would exhaust the given number of tires. Here is an example program that accepts n tires as input and prints all the combinations:
```python
def generate_combinations(n):
for cars in range(n+1):
for tricycles in range(n+1 - cars):
bicycles = n - cars - tricycles
print(f"Cars: {cars}, Tricycles: {tricycles}, Bicycles: {bicycles}")
n_tyres = int(input("Enter the number of tyres: "))
generate_combinations(n_tyres)
```
Here's a step-by-step explanation of the code:
1. `generate_combinations` function is defined to generate all combinations. It takes one parameter `n` which represents the number of tyres.
2. The outer loop iterates over the possible number of cars (0 to n).
3. The inner loop iterates over the possible number of tricycles (0 to n - cars). The remaining tires after allocating cars will be allocated to tricycles.
4. The remaining tires after allocating cars and tricycles are assigned to bicycles.
5. The combination of cars, tricycles, and bicycles is printed for each iteration.
6. Finally, we accept the number of tyres from the user and call `generate_combinations` with that input to get the desired output.
The program will generate all possible combinations of cars, tricycles, and bicycles that could exhaust the given number of tires while ensuring a fair share where possible.