Question

Sofia's taco truck lets customers choose 3 ingredients from the list below to add their tacos:OnionsCheeseCilantro JalapeñosCrema SalsaHow many groups of 3 different ingredients can go on a taco?

Answer 1

Given data:

Taco truck has 3 ingredients from onion, cheese , cliantro jalapenos cerma salsa.

to find the gropu of different ingredients to go on taco we fuse combination formula,

$^nC_r=\frac{n!}{r!(n-r)!}$

here, n = 4, and r= 3.

$\begin{gathered} ^4C_3=\frac{4!}{3!(4-3)!} \\ =\frac{24}{6} \\ =4 \end{gathered}$

Therefore the customers can choose 4 group of 3 differnt intgredients to go on taco.