Please help!! You want to distribute 7 candies to 4 kids. If every kid must receive at least one candy, in how many ways can you do this?

20ways

Step-by-step explanation:

Number of candies = 7

Number of kids = 4

Since each kid must receive at least one candy ;

Therefore number of candies left to ration is

7 - 4 = 3 candies ; among 4 kids.

To share 'n' identical object among 'r' number of individuals can be expressed in the form :

[n+(r-1)Cr-1]

n = 3 ; r = 4

[3+(4-1)C4-1] = 6C3

Recall: nCr = n! / (n-r)!r!

6C3 = 6!/(6-3)!3!

6C3 = 6!/3!3!

= (6 * 5 * 4) / (3 * 2 * 1)

= 120 / 6

= 20ways

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

the answer is 13 cm