Question

Evaluate 10^C6 and 4^P3

Answer 1

`image`

yes, check your calculator for the [ ! ] factorial button.

one note that your calculator also has a [ ₙCᵣ ] and [ ₙPᵣ ] buttons for combinations and permutations.

Answer 2

Answers

Part 1: 210

Part 2: 24

Step-by-step explanation

Part 1

This is called combination.

ⁿCm means, the number of different combinations of m objects out of n objects.

¹⁰C₆ = 10!/10!(10-6)!

= 10!/(6!×4!)

=210

Part 2

This is called permutation.

If you have nPm, this means the number of permutations of m objects out of n.

It's solve as follows;

nPm = n!/(n-m)!

⁴P₃ =4!/(4-3)!

= 4!/1!

= 24