SOLUTION: jarred has 7 hamsters. how many diffrent ways can he choose 3 of them to take with him to show and tell? a. 343 b. 210 c. 21 d. 35

Question 89825: jarred has 7 hamsters. how many diffrent ways can he choose 3 of them to take with him to show and tell?
a. 343
b. 210
c. 21
d. 35
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since order doesn't matter, we can use the combination formula:

Start with the given formula

Plug in and

Subtract to get 4

Expand 7!

Expand 4!

Cancel

Simplify

Expand 3!

Multiply 7*6*5 to get 210

Multiply 3*2*1 to get 6

Now divide

So 7 choose 3 (where order doesn't matter) yields 35 unique combinations

So the answer is d)
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