Suppose you want to get a license plate. The license plate has to have 3 letters without repetition, followed by 3 numbers without repetition. How many arrangements are possible? 11,232,000 b 15,600 19,656,000 720

Suppose you want to get a license plate. The license plate has to have 3 letters without repetition, followed by 3 numbers without repetition. How many arrangements are possible? 11,232,000 b 15,600 19,656,000 720

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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Question

Suppose you want to get a license plate. The license plate has to have 3 letters without repetition, followed by 3 numbers without repetition.
How many arrangements are possible?
a
11,232,000
15,600
19,656,000
d.
720

Expert Solution

Step 1

The number of ways to obtain the r object out of n object is given by the formula $^{n} C_{r} = \frac{n!}{r! (n - r)!}$ . The places can be filled by using the selection of the objects.

The number of the numbers is 10. The number of letters is 26.

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