Solve the problem. A teacher is going to assign each student a 3 digit code usin

Question

Solve the problem.
A teacher is going to assign each student a 3 digit code using the digits 0 through 5. How many codes are possible if no repetitions are allowed? Select one: A. 125 B. 60 C. 216 D. 120 Solve the problem.
A teacher is going to assign each student a 3 digit code using the digits 0 through 5. How many codes are possible if no repetitions are allowed? Select one: A. 125 B. 60 C. 216 D. 120 Solve the problem.
A teacher is going to assign each student a 3 digit code using the digits 0 through 5. How many codes are possible if no repetitions are allowed? Select one: A. 125 B. 60 C. 216 D. 120

Explanation / Answer

we need to choose 3 digits from 0 to 5

total ways to choose = 5C3 = 5*4*3/(3*2*1) = 10 ways

Now we have to arrange them as three digit code, so

total arrangement possible = 3! = 6

total different codes = 3!*5C3 = 6*10 = 60

Correct option is B.

OR

total choice for first digit = 5, for second digit = 4 and for third digit = 3

total different code = 5*4*3 = 60 ways

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