You and two friends visit a pizza shop. there are 14 toppings. 7 toppings are meat and the rest are vegetable. each of you order a different topping (no repeats) at random. what is the probability that your group orders only meat toppings?

Step-by-step explanation:

Given: Total toppings = 14

Meat toppings =7

By using permutations,

If each of three friends order a different meat toppings , then total ways of order toppings

If the group is ordering only meat topping then the number of ways to order only meat topping

Then, the probability that the group orders only meat toppings

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.