Question

# 1) In a college, each student ID card is linked with a unique 5-digit pin from...

1) In a college, each student ID card is linked with a unique 5-digit pin from the set {0,1,2,3,4,5,6,7,8,9}. A) Find the number of ID cards possible. B) Find the number of ID cards possible if the 5-digit number is an odd number? C) Recalculate A&B if the digits are not allowed to be repeated.

2) A license plate has 3 letters followed by 4 digits. How many different license plate numbers can be formed if the letters cannot be repeated and digits can be repeated.

3) How many seven-digit telephone numbers are possible if the first number is not allowed to be 0 or 1? Given that 817272 are the first six digits for UTA, how many five-digit extensions are possible in the form 2xxxx.

4) A pair of dice is tossed, a coin is flipped thrice, and a card is selected at random from a deck of 52 distinct cards. Find the number of possible outcomes.

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