Question

Need urgent help in mathematics!! Will mark brainliest!!!!

Answer 1

Hello!

7P5 is read as "is read "the number of permutations of 7 different things taken 5 at a time".

This means that each arrangement represents a different arrangement of 5 things out of a group of 7 things.

To show this, it would be written as: $nPr = \frac{n!}{(n-r)!}$. In this case, n is equal to 7 and r is equal to 5.

$7P5 = \frac{7!}{(7-5)!}$ (simplify the parentheses and simplify the factorial)

$7P5 = \frac{7 * 6 * 5 * 4 * 3 * 2 * 1}{2 * 1}$ (simplify the fraction)

$7P5 = 2520$

Therefore, the answer is the third choice, 2520.

Answer 2

₇P₅ is a permutation. you can find this setting in the statistics menu of your scientific calculator (i think).

If you don't have a scientific calculator, you can use the following formula:

nPr = $\frac{n!}{(n - r)!}$

₇P₅  = $\frac{7!}{(7 - 5)!}$

     = $\frac{7}{2!}$

     = $\frac{7 * 6 * 5 * 4 * 3 * 2!}{2!}$

     = 7 * 6 * 5 * 4 * 3

    = 2520

Answer: C