A passcode is to be created from 2 letters, 2 digits, and 2 special characters (consisting of ?, !, and * only). How many unique passcodes can be made if repetitions are not allowed?

Q: You need to create a new passcode for your iPhone, their are 10 numbers to choose from and your…

A: Remark: We know the number of different permutations of n distinct objects taken r at a time is nPr…

Q: How many 4 digit numbers do not have digit 0 in them.

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Q: How many 7-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6, and 7 if each digit can only…

A: Digits: 1, 2, 3, 4, 5, 6, 7.

Q: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

A: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

Q: How many different 11-letter words (real imaginary) can be formed from the letters in the word…

A: We have to find the total number of 11-letter words that can be formed from the letter in the word…

Q: The combination on a bike lock consists of 5 letters. How many different lock combinations are…

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Q: Any possible arrangement of 8 letters is considered a word.  The letters are taken from 21…

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Q: Outside a home, there is a 5-key keypad with letters A, B, C, D and, E that can be used to open the…

A: 5 key keypad with letter A,B,C,D,E.the key can be used to open the garage if the correct five-letter…

Q: How many license plates can be made using two letters followed by four digits (0-9), allowing…

A: From this given information, license plates can be made using two letters followed by four digits…

Q: password contains 2 letters and 2 digits.  How many passwords are possible if repetitions are NOT…

A: The number of letters is 2 and the number of words is 2.

Q: Then where a = 812 = a13 = A = 1 2 -9 6 5 812 49 821 823 831 , 821 = ,a22 = , 23 = , 831 =

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Q: As I went to pay for my coffee, I saw a sign saying, “Win free coffee for a year! Choose 4 different…

A: The objective of this question is to find out the total number of different 4-digit passcodes that…

Q: When Navya was cleaning up her room, she found four types of items: legos, dolls, origami cranes and…

A: We formulate 4 equations from the given data and then solve each variable.

Q: A state has license plates that consist of 2 letters followed by 3 numbers and each letter and…

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Q: How many combinations of three-digit numbers are possible with digits 2,4,6?

A: Given three digits are : 2 , 4  and 6 .  Combination of digits : _ _ _ (three places)  For the first…

Q: A regular license plate in California begain with a digit from 1-9 followed by three letters,…

A: Step 1: Step 2: Step 3: Step 4:

Q: How many different license plates are possible if 2 uppercase letters are followed by 4 digits and…

A: A number plate consist of 2 uppercase letters followed by 4 digits, in which first digit cannot be…