Question

Student received 10 different resistors for a laboratory setup with five slots to attach resistors, where each slot can accommodate only one resistor. In how many ways those 10 resistors can be attached to the laboratory setup?

Answer 1

The number of ways of attaching the 10 resistors = 5¹⁰ = 9,765,625 ways

Explanation:

Given;

total number of resistors, n = 10

number of slots available, = 5

The first resistor can be attached in 5 ways,

The second resistor can also be attached in 5 ways,

The third resistor can also be attached in 5 ways, etc

Each of the resistors can be attached in 5 different ways;

The number of ways of attaching the 10 resistors = 5¹⁰ = 9,765,625 ways