Question 1202676
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A box of Mrs. Donuts contains 8 honey dipped, 6 Bavarians, and 7 chocolate-filled donuts. 
How many ways can 5 donuts be selected to meet each condition?
a. 3 Bavarian and 2 chocolate filled?
b. 2 Bavarian, 2 honey-dipped, and 1 chocolate filled?
c. exactly 1 honey dipped?
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<pre>
Total donuts originally is  8 + 6 + 7 = 21.


(a)  {{{C[6]^3*C[7]^2}}} = 20*21 = 420.    <U>ANSWER</U>


(b)  {{{C[6]^2*C[8]^2*C[7]^1}}} = 15*28*7 = 2940.    <U>ANSWER</U>


(c)  {{{C[8]^1*C[21-8]^4}}} = {{{8*C[13]^4}}} = 8*715 = 5720.    <U>ANSWER</U>
</pre>

Solved.