For this example, we must combine not permutate; this because a salad in which you first use apple then tomato is the same as the one in which you use first tomato then apple, so order does not matter.
Me must do "10 combine 7" which is written by the binomial coefficient
; in general a binomial coefficient is written by:
In which
and
are positive integers, such that
.
So, for this problem:
Hence, there are 120 different ways to make the fruit salad.
Answer:
always
Step-by-step explanation:
Answer:
The square with side 5 centimeters have a greater area.
Corrected question;
Which has the greater area: a 6‐centimeter by 4.12‐centimeter rectangle or a square with a side that measures 5 centimeters?
Step-by-step explanation:
The Area of a rectangle can be written as;
Area A = length × breadth
Given;
Length = 6 cm
Breadth = 4.12 cm
Substituting the values;
Area of rectangle = 6cm × 4.12cm = 24.72 cm^2
For the square;
Area of a square = length × length
Given;
Length = 5 cm
Substituting the values;
Area of the square = 5cm × 5cm = 25 cm^2
Since 25 cm^2 is greater than 24.72 cm^2
The square has a greater area.
Think of it this way:
_ _ _ (3 digit number)
for the first blank you could have 7 possibilities
for the second blank you could have 6 possibilities
for the third blank you could have 5 possibilities
because each time you fill in a blank one number is removed from the list of possibilities
7×6×5=210. there are 210 possibilities
