Question

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

Answer 1

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

Answer 2

thank you! can you help me with another similar one

Answer 3

Well okay

Answer 4

Find the number of permutations in the word arithmetic.

Answer 5

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