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(2) In the layout of an oriented circuit board for an electronic product, there

ID: 3327632 • Letter: #

Question

(2) In the layout of an oriented circuit board for an electronic product, there are 15 different locations for chips. (c) If 10 different types of chips are to be placed on the board, how many different layouts are possible? layouts are possible? (type I) and 4 chips of another type (Type IT), how many different layouts are (d) If the 10 chips that are placed on the board are the same type, how many different (e) If the 10 chips that are placed on the board are divided in 6 chips of the same type possible?

Explanation / Answer

a) There are 15 locations:

If chipa are of different types, then layouts = 15P10 = 10897286400

b) If chips are of same type, order wont matter

Layouts = 15C10 (select 20 places out of 25) = 3003

c) 6 chips are of type 1 and 4 chips are of type 2

15C6 * 9C4 = 5005 * 126 = 630630