Question

What is the value of (8 – 5)!?









A.
5040







B.
24







C.
6







D.
40,200

Answer 1

man i had it...

Answer 2

Do you know what x! means?

Answer 3

No

Answer 4

You know about factorials

Answer 5

no

Answer 6

The exclamation mark is the symbol for "factorial". Do you know what factorial means?

Answer 7

no I dont

Answer 8

n! = n(n-1)(n-2)......1,
For example, 4! = 4 x 3 x 2 x 1 = 24

Answer 9

6

Answer 10

Yep..!!

Answer 11

thank you

Answer 12

It's a simple concept.

A factorial number is a number multiplied by one less than itself, then multiplied by one less than that until you multiply it by 1.

It's easier to understand with an example.

5! = 5 * 4 * 3 * 2 * 1 = 120

3! = 3 * 2 * 1 = 6

Answer 13

How many combinations of 3 students can a teacher choose from 32 students?








A.
96







B.
4960







C.
29,760







D.
32,768

Answer 14

In your case, first do the subtraction inside the parentheses.
Then do the result of the subtraction factorial.

For example:
(12 - 7)! = 5! = 5 * 4 * 3 * 2 * 1 = 120

Answer 15

From 32 people, you have to choose 3 people which can be done in 32C3 ways. Just calculate the answer

Answer 16

\(_nC_r = \dfrac{n!}{r!(n - r)!}\)

\(_{32}C_3 \)

\(= \dfrac{32!}{3!(32 - 3)!}\)

\( = \dfrac{32 \cdot 31 \cdot 30 \cdot 29!}{3!29!}\)

\(= \dfrac{32 \cdot 31 \cdot 30 \cdot \cancel{29!}}{3 \cdot 2 \cdot\cancel{29!}}\)

\(= 32 \cdot 31 \cdot 5 \)

\(= 4960\)