Question

Find the probability of forming 4 digits number using 1,2,3,4,5,6,7,8 without any repetition?

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Probability of forming a 4 digit number using the digits without repetition is 0.4102.

• We have to find the probability of forming 4 digit numbers using the numbers 1,2,3,4,5,6,7,8 without repetition.

• There are total of 8 numbers.

• We have 4 digits, we can occupy units place by 8 numbers , tens place by 7 numbers remaining , hundreds place by 6 numbers reamining and thousands place by 5 numbers remaining.(As repetition is not allowed the numbers decrease as the number used cannot be used again.)

Total number of ways of writing a number without repetition = 8×7×6×5 = 1680

• Total number of ways of forming a 4 digit number with repetition of digits using the numbers provided is $8^4$ ways.

Total number of ways of writing a number with repetition = $8^4$ = 4096

• Now we have to find the probability of forming the digits without repetition is

Probability = $\frac{1680}{4096}$ = 0.4102