The product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point.

Given:

5!4!/7!2!

= 5!* 4*3*2!/7*6*5!*2!

=4*3/7*6

=12/42

=4/14

=2/7

Hence, 5!4!/7!2! = 2/7.

Learn more about factorial here:

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8 0

1 year ago

The ratio of students who prefer pineapple to students who prefer kiwi is 12 to 5. Which pair of equivalent ratios could be used

AlexFokin [52]

Answer:

105 students could prefer kiwi if there are 357 total students.

Step-by-step explanation:

Given:

The ratio of students who prefer pineapple to students who prefer kiwi is 12 to 5.

Now, to find number of students prefer kiwi if there are 357 total students.

Let the students prefer pineapple be $12x.$

And the students prefer kiwi be $5x.$

Total students = 357.

So, we set an equation to get the number of students who prefer kiwi.

According to question:

$12x+5x=357$

$17x=357$

Dividing both sides by 17 we get:

$x=21.$

Thus, students prefer kiwi are:

$5x$

$=5\times 21=105.$

Therefore, 105 students could prefer kiwi if there are 357 total students.

3 0

2 years ago