How many ways are there to choose a committee of 7 people from a group of 10 people? Please help, medal will be awarded

Question

wolf1728 · Answer

The formula for choosing 'k' people from a larger group of 'n' people:
Combinations = n!/(k!)*(n-k)!
Combinations = 10! / 7! * (3)!
Combinations = 10 * 9 * 8 * 7! / 3! * 7!
Combinations = 10 * 9 * 8 / 3!
Combinations = 720 / 6
Combinations = 120

katherinesmith · Answer

thank you! can you help me with another similar one

wolf1728 · Answer

Well okay

katherinesmith · Answer

Find the number of permutations in the word arithmetic.

wolf1728 · Answer

arithmetic is 10 letters
duplicate letters are 'i' 't' 
Combinations = 10! / (2! * 2!)
Combinations = 10 * 9 * 8 * 7 * 6 * 5 * 2 * 3 
Combinations = 907,200