Choose the correct definition of (n/k) from below a. k! /n! (n-k)! b. n! /(n-k)! c. n! /k! (n-k)! d. n! /k! (k-n)!

C.  

Step-by-step explanation:

We know that a combination is a collection of the items where the order doesn't matter. It is a way to calculate the total outcomes of an event where order of the outcomes does not matter. It is denoted by C(n,k) or (n,k) or (n/k).

The formula for the number of combinations of n things taken r at a time is given by :-

Hence, C is the right option.

Combination helps us to find the number of ways. The correct definition that describes the combination (n/k) is .

A combination helps us to find the number of ways something can be selected from a set. It is given by the formula,

Where n is the total number of choices in the set, r is the number of choices we want.

Given to us

(n/k)

The correct definition that describes (n/k) using the combination formula

Hence, the correct definition that describes the combination (n/k) is .

Learn more about Combination:

link

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

$15 each

step-by-step explanation:

$45/3 children= $15 each