Applying Counting Techniques 1) How many odd numbers greater than 1250 but less than 7500 (inclusive) can be formed from the digits 1, 2, 3, 4, 5, 6? Assume that repetition is not permitted and not all digits must be used. (a) Create a list of all cases that need to be considered to solve this problem (For reference, consult Lesson 2.4, HW question #5). (b) Perform the calculations to determine an answer to the question above. 2) How many five-digit numbers include the digits 5 or 7 or both? For example, some sample numbers that would be counted are: 12500, 12700, 50000, 70000, 55777 - there are many more! Assume that repetition of digits is allowed, but lead zeros are not permitted. (a) Create a list of generalized steps to solve this problem. (b) Perform the calculations to determine an answer to the question above (Hint: A Venn diagram will help solve this). Real Estate Services Anita Kaur-Realtor |||