2 answers:
Answers
Part 1: 210
Part 2: 24
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
yes, check your calculator for the [ ! ] factorial button.
one note that your calculator also has a [ ₙCᵣ ] and [ ₙPᵣ ] buttons for combinations and permutations.
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