Amath teacher assigns 3 projects. she gives the students 5 project options to choose frorm how many different groups of projects can the students choose from?

10

Step-by-step explanation:

This is a combination problem since the order does not matter.

nCr = n! / r! * (n - r)!  

where n is the number of things  (5 projects)

and r is the number of things chosen

! means factorial which is multiply that number and all the numbers below it

5C3 = 5!                     5!            5*4*3*2*1

                 =   =  

          3! ((5-3)!         3!  2!         3*2*1 (2*1)

Canceling like terms leaves

5C3 = 5*4/2 = 20/2 = 10

homozygous. one is homozygous, while two is heterozygous.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.