Aschool committee consists of 2 teachers and 4 students. the number of different committees that can be formed from 5 teachers
and 10 students is
a. 10
b. 15
c. 2100
d. 8

Option C

2100 different committees that can be formed from 5 teachers  and 10 students

Solution:

A school committee consists of 2 teachers and 4 students

The number of different committees that can be formed from 5 teachers  and 10 students is to be found

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

The formula to calculate combinations is:

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 teacher from 5 teacher and 4 student from 10 student

Hence we get,

Number of committees =

To get the factorial of a number n the given formula is used,

Therefore,

Thus 2100 different committees that can be formed from 5 teachers  and 10 students

answer: it's upside down and i can't read it

step-by-step explanation:

the area of the rectangle is 35units^2.

step-by-step explanation:

graph it and find the distance.

it is a 5*7 rectangle.

therefore the area is 35units^2.