The chairman of the community bazaar is assigning people to chair committees. How many different ways can the 6 people be assigned to chair the subcommittees?

The 6 people be assigned in 720 different ways to chair the subcommittees.

Step-by-step explanation:

Given that,

This can be calculated by Permutation.

The number of arrangements in which the order of the objects matters is calculated as permutation.

The permutation is given as ⇒ P = n!

Here we can 6 people to be assigned. Therefore n = 6.

⇒ Number of ways can be arranged = 6!

⇒ 6×5×4×3×2×1

⇒ 720

∴ The 6 people be assigned in 720 different ways to chair the subcommittees.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.