You have one pile of 11 building blocks, each one a different color, and you also have another pile of 7 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 3 blocks high from the second pile? Assume that the colors at each level of a tower matter. (A) 318 (B) C(11, 4) C(7, 3) (C) P(11,4) P(7,3) (D) P(18,7) (E) 311 (F) C(18,7) (G) P(11,4)+ P(7, 3) (H) C(11,4) + C(7, 3) O A C OD O E OF OG

You have one pile of 11 building blocks, each one a different color, and you also have another pile of 7 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 3 blocks high from the second pile? Assume that the colors at each level of a tower matter. (A) 318 (B) C(11, 4) C(7, 3) (C) P(11,4) P(7,3) (D) P(18,7) (E) 311 (F) C(18,7) (G) P(11,4)+ P(7, 3) (H) C(11,4) + C(7, 3) O A C OD O E OF OG

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

You have one pile of 11 building blocks, each one a different color, and you also have
another pile of 7 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 3 blocks high from
the second pile? Assume that the colors at each level of a tower matter.
(A) 318
(B) C(11,4) C(7, 3)
(C) P(11,4) P(7,3)
(D) P(18,7)
(E) 311
(F) C(18,7)
(G) P(11,4)+ P(7,3)
(H) C(11,4)+ C(7,3)
O A
OB
OC
O E
O F
OG
H.

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