# Quiz on Cambridge Test

using the following digits 2,4,6,8, solve this equasion

what numbers would you use to

# # X # # > 5000

what mutiples are used

### Comments for Quiz on Cambridge Test

 Apr 19, 2012 Quiz on Cambridge Test by: Staff Question: using the following digits 2,4,6,8, solve this equation what numbers would you use to # # X # # > 5000 what multiples are used Answer: How many 4-digit numbers can be formed by the digits 2 4 6 8 (each digit can be used only once)? There is a formula which you can use to calculate these permutations of the four digits: P(n,r) = n! / (n - r)! 0 ≤ r ≤ n n = number of elements in the set { 2,4,6,8 } = 4 r = number of elements selected = 1, 2, 3, or 4 [r = 4 will be used] Order is important Repetition is not allowed List has 24 possibilities: {2,4,6,8} {2,4,8,6} {2,6,4,8} {2,6,8,4} {2,8,4,6} {2,8,6,4} {4,2,6,8} {4,2,8,6} {4,6,2,8} {4,6,8,2} {4,8,2,6} {4,8,6,2} {6,2,4,8} {6,2,8,4} {6,4,2,8} {6,4,8,2} {6,8,2,4} {6,8,4,2} {8,2,4,6} {8,2,6,4} {8,4,2,6} {8,4,6,2} {8,6,2,4} {8,6,4,2} 24*68 = 1632 24*86 = 2064 26*48 = 1248 26*84 = 2184 28*46 = 1288 28*64 = 1792 42*68 = 2586 42*86 = 3612 46*28 = 1288 46*82 = 3772 48*26 = 1248 48*62 = 2976 62*48 = 2976 62*84 = 5208 64*28 = 1792 64*82 = 5248 68*24 = 1632 68*42 = 2856 82*46 = 3772 82*64 = 5248 84*26 = 2184 84*62 = 5208 86*24 = 2064 86*42 = 3612 >>> the final answer is: 62 x 84 > 5000 or 84 x 62 > 5000 or 64 x 82 > 5000 or 82 x 64 > 5000 Thanks for writing. Staff www.solving-math-problems.com