Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

On a camping trip you bring 12 items for 4 dinners. For each dinner you use 3 items. In how many ways can you choose items for the first dinner? for the second? for the third? for the fourth?

Sagot :

Answer:

  • 220 options, 84 options, 20 options, 1 option

Step-by-step explanation:

The first dinner

Combinations of 3 out of 12 items

  • 12C3 = 12!/(12-3)!3! = 12!/9!3! = 12*11*10/2*3 = 220

The second dinner

Combinations 3 out of remaining 9 items

  • 9C3 = 9!/(9 - 3)!3! = 9!/6!3! = 9*8*7/2*3 = 84

The third dinner

Combinations of 3 out of remaining 6 items

  • 6C3 = 6!/(6 - 3)!3! = 6!/3!3! = 6*5*4/2*3 = 20

The fourth dinner

Combinations of 3 out of 3 remaining items

  • 3C3 = 3!/(3 - 3)!3! = 3!/0!3! = 1
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.