You’ve just finished making 3 batches of plastic tumblers: a red batch, a yellow batch, and a purple batch. there are 500 tumblers in each batch. you are now making sets of 3 tumblers that contain 1 tumbler of each color. how many sets can you make?

The total number of possible sets is 125,000,000.

Step-by-step explanation:

3 batches of plastic tumblers are red batch, yellow batch, and purple batch.

There are 500 tumblers in each batch.

We need to make a set 3 tumblers that contain 1 tumbler of each color.

The possible ways to select r items from total n items is

The possible ways to select 1 red tumbler from 500 tumblers red is

The possible ways to select 1 yellow tumbler from 500 tumblers yellow is

The possible ways to select 1 purple tumbler from 500 tumblers purple is

Total possible ways to make a set of 3 tumblers that contain 1 tumbler of each color are

Therefore the total number of possible sets is 125,000,000.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

answer: 72: 111

step-by-step explanation: