Question

how many different salads can be made from cucumber, tomatoes, onions, beetroot and carrots?

Answer 1

Answer:

31 type of salads

Step-by-step explanation:

cucumber, tomatoes, onions, beetroot and carrots?

total 5 kind ingredients

We can use 1 , 2 , 3 , 4 or 5  ingredients

it does not matter which ingredient is used when

so total combinations possible

= ⁵C₅ + ⁵C₄ + ⁵C₃ + ⁵C₂ + ⁵C₁    

(⁵C₀ is ignored as then there will be no salad)

= $\frac{5!}{5!} + \frac{5!}{4! * 1!} + \frac{5!}{3! * 2!} + \frac{5!}{2! * 3!} + \frac{5!}{1! * 4!}$

= 1 + 5 + 10 + 10  + 5

= 31

31 type of salads