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?

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

Step-by-step 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

468

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.