How many ways can four numbers be drawn from a group of ten numbers if the order does not matter?

210 ways

Step-by-step explanation:

Simply put in combinations and permutations,

ORDER MATTERS >> PERMUTATION

ORDER DOESNT MATTER >> COMBINATION

Formula for Permutation is  

Formula for Combination is  

These means taking r objects from a group of n

Also x! means x(x-1)(x-2)... (ex: 4! = 4 * 3 * 2 * 1)

Now, from the question, we have "order doesn't matter" so we have combination with n = 10 and r = 4.

Let's put the numbers into formula and find the

So, the answer is 210

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!