Here's the solution and answers to the ME board questions in Mathematics (Statistics and Probability) 1. In how many ways can you arrange a group of 5 girls and 3 boys in 7 vacant chairs? Solution: The total number of persons to be seated is 8 and the number of chairs is only 7. When words denoting “arrangement” are used, it most likely pertains to permutations. So, the formula to be used is permutation of 8 taking 7 at a time. n = 8, r = 7, nPr, then use your calculator or this formula nPr = n!/(n-r)! = 8!(8-1)!=40320 permutations or arrangements A. 40320 2. How many 3-digit numbers can you make out of the numbers 1 to 5 without repetition? Solution: Since the number varies as you rearrange the digits (example 1342 is different from 1423), then this problem is about permutation. So, the formula is the permutation of 5 numbers taken 3 at a time. n = 5, r = 3, nPr; use your calculator or this formula: nPr = n!/(n-r)! nPr = 5!/(5-3)!=60 permutations C. 60 3. There

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