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3 years ago

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Help. Find the value of each expression. 9P3 10C4

1 answer:

Aleks [24]3 years ago

6 0

NPr<span> = n! / (n - r)!

</span><span>number of permutations of 9, taken 3 at a time
</span>
9P3 = 9! / (9 -3)!
9P3 = 9! / 6!
9P3 = 9 x 8 x 7
9P3 <span>= 504
</span>
nCr<span> = n! / r! (n - r)!
</span>
<span>the number of combinations of 10, taken 4 at a time.
</span>
10C4 = 10! / 4! (10 - 4)!
10C4 = 10! / <span>4! 6!
</span>10C4 =10 x 9 x 8 x 7 / 4 x 3 x 2 x 1
10C4 = 5040 / 24
10C4 = 210

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