Rule of Sum and Rule of Product

Rule of Sum and Rule of Product Problem Solving


Aleasha has a standard 6-sided die and a coin.

How many different results can she get in rolling the die or flipping the coin?

There are 88 cards with number 1010 on them, 55 cards with number 100100 on them and 22 cards with number 500500 on them. How many distinct sums are possible using from 1 to all of the 1515 cards?

Paddy flips a fair coin 66 times, and writes down each result in order. What is the total number of possible outcomes?

Note: The outcome THHHTHHH is different from the outcome HHHTHHHT.

How many ways are there to color the above regions with 4 different colors, if adjacent regions should have different colors?

Note: You need not use all four colors but each region must be colored by any one of them.

How many odd 3-digit numbers are there, whose digits are distinct integers from the set {0,1,2,3,4,5,6,7} \{0, 1, 2, 3, 4, 5, 6, 7 \} .

This problem is posed by Gabriel M.

Details and assumptions

The number 12=01212=012 is a 2-digit number, not a 3-digit number.


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