Math, asked by michaeljacobs053, 1 month ago

Your uncle won R12 million in the lotto. He went to purchase items at different stores. Help him to fill in his cheques. Guess what he purchased with these cheques.​

Answers

Answered by Anonymous
1

Step-by-step explanation:

A 4 digit PIN is selected. What is the probability that there are no repeated digits?

There are 10 possible values for each digit of the PIN (namely: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9), so there are 10 × 10 × 10 × 10 = 104 = 10000 total possible PINs.

To have no repeated digits, all four digits would have to be different, which is selecting without replacement. We could either compute 10 × 9 × 8 × 7, or notice that this is the same as the permutation 10P4 = 5040.

The probability of no repeated digits is the number of 4 digit PINs with no repeated digits divided by the total number of 4 digit PINs. This probability is

10P4104=504010000=0.50410P4104=504010000=0.504

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