There are nine different toppings in Merry Brown Pizza shop . They have to…
2025
There are nine different toppings in Merry Brown Pizza shop . They have to make pizzas with different toppings . In how many ways can the shop keeper make pizzas with 2 different toppings ?
- A.
72
- B.
48
- C.
36
- D.
18
Attempted by 23 students.
Show answer & explanation
Correct answer: C
Answer: 36
Reason: We need to choose 2 different toppings from 9 available toppings. The order in which the toppings are chosen does not matter, and we do not allow repetition.
Use combinations (n choose 2):
Formula: C(n,2) = n(n−1)/2
Apply with n = 9: C(9,2) = 9 × 8 / 2 = 36
Therefore, the shop keeper can make 36 different pizzas with 2 different toppings.