You have one pile of 10 building blocks, each one a different color, and you also have another pile of 6 blocks, again each one a different color. How many ways are there to build a tower 4 blocks high from the first pile and another tower 2 blocks high from the second pile? Assume that the colors at each level of a tower matter. (A) C(10, 4) · C(6, 2) (B) C(16,6) (C) 216 (D) C(10,4)+C(6, 2) (E) P(16, 6) (F) P(10,4) · P(6, 2) (G) P(10,4) + P(6, 2) (Н) 210 A Ов C O E O F

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Please help me with this math homework question. I really can not figure this out. 

You have one pile of 10 building blocks, each one a different color, and you also have
another pile of 6 blocks, again each one a different color. How many ways are there to
build a tower 4 blocks high from the first pile and another tower 2 blocks high from
the second pile? Assume that the colors at each level of a tower matter.
(A) C(10, 4) · C(6, 2)
(B) C(16,6)
(C) 216
(D) C(10,4)+C(6,2)
(E) P(16,6)
(F) P(10,4) · P(6, 2)
(G) P(10, 4) + P(6, 2)
(H) 210
O A
C
E
F
H
Transcribed Image Text:You have one pile of 10 building blocks, each one a different color, and you also have another pile of 6 blocks, again each one a different color. How many ways are there to build a tower 4 blocks high from the first pile and another tower 2 blocks high from the second pile? Assume that the colors at each level of a tower matter. (A) C(10, 4) · C(6, 2) (B) C(16,6) (C) 216 (D) C(10,4)+C(6,2) (E) P(16,6) (F) P(10,4) · P(6, 2) (G) P(10, 4) + P(6, 2) (H) 210 O A C E F H
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