#1
June 13th, 2014, 03:20 PM
| |||
| |||
Regional Mathematics Olympiad Exam Papers
Will you please provide me the Regional Mathematics Olympiad Exam Previous Years Question Papers???????? Here I am sharing the Regional Mathematics Olympiad Exam Previous Years Question Paper: 4. How many 6-digit numbers are there such that: (a) the digits of each number are all from the set {1, 2, 3, 4, 5}; (b) any digit that appears in the number appears at least twice? (Example: 225252 is an admissible number, while 222133 is not.) Solution: Since each digit occurs at least twice, we have following possibilities: 1. Three digits occur twice each. We may choose three digits from {1, 2, 3, 4, 5} in (5 3ü= 10 ways. If each occurs exactly twice, the number of such admissible 6-digit numbers is 6! 2! 2! 2! þ10 = 900. Last edited by Neelurk; March 5th, 2020 at 08:26 AM. |
|