Question

Samanthas offer different tarts (buck,ube,pineapple,yema,and mango)A box of tart contains 9pieces and you are allowed to have a maximum of three different flavour per box how many different combination are there?

Answer 1

Using the combination formula, it is found that there are 129 different combinations.

What is the combination formula?

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, combinations of 1, 2 or 3 pieces from a set of 9 are taken, hence:

$C_{9,1} = \frac{9!}{1!8!} = 9$

$C_{9,2} = \frac{9!}{2!7!} = 36$

$C_{9,3} = \frac{9!}{3!6!} = 84$

Then, the total is of:
T = 9 + 36 + 84 = 129.

More can be learned about the combination formula at https://brainly.com/question/25821700