SOLUTION: Can you please help me evaluate these two expressions? Thank you. expression 1 = ₉C₂ expression 2 = ₇₀C₃

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Question 1081850: Can you please help me evaluate these two expressions? Thank you.
expression 1 = ₉C₂
expression 2 = ₇₀C₃

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
nCr = n!/((n-r)!*r!) ("Combinations" or ways to arrange objects when order doesn't matter)
where:
n! = n*(n-1)*(n-2)*…*3*2*1 (I leave off the *1 when solving problems, it doesn't change anything)

Expression 1:

Because I've seen these before, if I were writing it out, I'd say to myself 9*8 (because 7, 6, …, 2 will cancel from the (9-2)! = 7! part), divided by 2!=2:
+9C2+=+9%2A8%2F2%21+=+36+

For expression 2, using the shortcut, +70C3+=+70%21%2F%28%2867%21%29%2A%283%21%29%29+=+%2870%2A69%2A68%29%2F%283%2A2%29+=+54740+