ljchavez2009
Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

A combination lock like the one shown has three dials. Each of the dials has numbers ranging from 0 to 4. How many different combinations are possible with the lock?

Sagot :

If combination requires 3 numbers ranging from 0 to 4 then number of combinations is 10.

Given A combination lock contains three numbers from 0 to 4.

Combinations refers to a technique that determines the number of possible arrangements in  a collection of items where the order of the selection does not matter.

Total numbers available to be selected are 5 from 0 to 4.

In this 0 is also included because it is also a number.

Numbers to be filled in the combination lock =3

So to calculate the combinations we need to use nCr formula in which n=5 and r=3.

Combinations=5C3

=5!/3!*(5-3)!

=5!/3!*2!

=5*4*3!/3!*2!

3! will be cancelled from numerator and denominator

=5*4/2

=10

Hence the number of possible combinations are 10.

Learn more about combinations at https://brainly.com/question/4658834

#SPJ10

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.