CMA Foundation · Fundamentals of Business Mathematics and Statistics · Permutation and Combinations
A Mumbai firm sells a product in 4 packaging styles and ships it through 3 courier partners. Each shipment must use exactly one style and one courier. How many different shipping arrangements are possible?
There are 12 arrangements. A shipment needs one packaging style and one courier together, so the independent choices multiply: 4 styles times 3 couriers gives 12. Adding them to get 7 would apply to alternatives, not to combined choices.
- A7
- B12Correct
- C16
- D24
Explanation
By the multiplication principle, the choices are made one after another, so total = 4 × 3 = 12. Adding (4 + 3 = 7) is wrong because both choices must be made together, not either/or.
Did you get it right without looking?
One question tells you little. A timed set on Permutation and Combinations shows your real accuracy, how long you take and where you lose marks.
More Permutation and Combinations questions
- If n!/(n-2)! = 56, what is the value of n?
- A firm has 9 employees. It wants to divide them into three teams of 3 each, the teams being unlabelled and identical in function (no team is…
- If nC2 = 45, what is the value of n?
- A bank in Chennai issues a 3-character code: the first is a letter chosen from A, B, C, D, E, and the next two are digits from 0 to 9 with r…
- A committee of 5 is to be formed from 7 men and 5 women so that it contains at least 2 women. In how many ways can this be done?
- A company in Pune has 8 candidates shortlisted and must choose a Manager, an Accountant and a Cashier, each from a different candidate. How …