So this is what's known as a combination. a combination is a group where the order does not matter. to solve a combination, you use this equation:
n! / (r! *(n-r)!)
n is the total number of objects being sorted (8)
r is the group you need to sort them into (4)
(i know it's 2 groups of 4 but if you solve this for 1 group, the other group is automatically made of the remaining kids)
definition of !:
a number with a ! means 1*2*3...*that number (so that number multiplied by every number smaller than it all the way to one)
so we put 8 and 4 in this equation:
8! / (4! *(8-4)!)
simplify:
8! / *(4! 4!)
multiply out:
(8*7*6*5*4*3*2*1) / (4*3*2*1 * 4*3*2*1)
and put that in your calculator
you will get 70
your answer is 70
Answer:
We have a formula for division algorithm a= bq+r (1)
a is the greatest integer between the two given integers
And b is the other integer
q is the quotient
r is the remainder
here we have a=192 and b=7 substituting values in equation (1) we get
192 = 27 *7 + 3 (2)
now substitute quotient from equation (2) in place of a that is a=27 and remainder in place of b that is b =3 in equation as below
27= 9*3 +0
we will proceed till we get remainder zero.
Answer:
Distance = 8.6
M = (-13.5,27.5)
Step-by-step explanation:
Distance =
=
=
=
=
=
= 8.6
Midpoint =
= (-10+(-17)) ÷ 2 ; (30+25) ÷ 2
= -27 ÷2 ; 55 ÷ 2
= -13.5, 27.5
1/2 would be in between 0 and 1. The fraction 4/2 is actually 2, so it would just be plotted on the number 2 on the number line. 5/2 is reduced to 2.5, therefore it goes in between 2 and 3.