The numbers 0 through 9 are used in code groups of four to identify an item of clothing. code 1083 might identify a blue blouse, size medium. the code group 2031 might identify a pair of pants, size 18, and so on. repetitions of numbers are not permitted, i. e., the same number cannot be used more than once in a total sequence. as examples, 2256, 2562 or 5559 would not be permitted. how many different code groups can be designed?

5040

Step-by-step explanation:

Given : Number of choices to make a four digit code ( 0 to 9)= 10

If repetition is not allowed , then we use Permutations to find the number of different code groups can be designed.

The number of permutations of n things , taking r at a time is given by :-

Then, the number of permutations of  10 numbers , taking 4 at a time is given by :-

Hence, the number of different code groups can be designed= 5040

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

c

step-by-step explanation: