Each student's locker combination at Guion Creek Middle School contains three numbers ranging from 0 to 49 Alex and Dante are playing a game with their locker combinations. Alex is giving Dante hints to his locker combination to see if Dante can guess the combination A. Alex's first hint is that the first number in the combination is a 3,4, or a 5. How many possible choices are there for the 1st Number? B. The hint for the second number is that it is NOT a 3 or a 4. How many possible numbers are there for the 2nd number? C. The hint for the third number is that it is an odd number. How many possible numbers are there for the 3rd number? D. How many possible combinations are there? E. What is the probability that 3:32:7 is Alex's combination? leave your answer as a fraction with NO spaces Answer for A:____________ Answer for B:______________ Answer for C:____________ Answer for D:________________
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Each student's locker combination at Guion Creek Middle School contains three numbers ranging from 0 to 49
Alex and Dante are playing a game with their locker combinations. Alex is giving Dante hints to his locker combination to see if Dante can guess the combination
A. Alex's first hint is that the first number in the combination is a 3,4, or a 5. How many possible choices are there for the 1st Number?
B. The hint for the second number is that it is NOT a 3 or a 4. How many possible numbers are there for the 2nd number?
C. The hint for the third number is that it is an odd number. How many possible numbers are there for the 3rd number?
D. How many possible combinations are there?
E. What is the probability that 3:32:7 is Alex's combination? leave your answer as a fraction with NO spaces
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
