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=(n!)/(r!(n-r)!)`

here, n = 4, and r= 3.

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

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