Question

Evaluate . 7C6
A. 9

B. 1

C. 5,040

D. 7
can someone explain this to me?

Answer 1

In general:

\( \color{Black}{\Rightarrow nCr= \Large {n! \over (n - r)! \times r!} }\)

! means 'factorial'.

Answer 2

\( \color{Black}{\Rightarrow 7C6 = \Large {7! \over (7 - 6)! \times 6!} }\)

Answer 3

\( \color{Black}{\Rightarrow n! = n \times (n - 1) \times (n - 2) ......\times1 }\)

Answer 4

\( \color{Black}{\Rightarrow 7! = 7 \times 6 \times 5 \times 4\times 3\times 2\times 1 }\)

Answer 5

so the answer would be what?

Answer 6

5,040 is the answer