A. 105

B. 48

C. 840

D. 35
by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

There is a choice of 7 for the first selected thing, a choice of 6 for the second and a choice of 5 for the third, giving us 7×6×5 permutations. But we could have picked the same three things in a different order, which means the permutations contain duplicate combinations. The duplication factor is given by the number of ways of arranging 3 things=6, so we need to divide 7×6×5 by 6, so there are 35 distinct combinations, answer D.

by Top Rated User (884k points)

Related questions

Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
86,811 questions
93,393 answers
2,336 comments
24,169 users