Probability and combinations

Front

What is the formula for combinations?

Back

C(n, r) = n! / (r! * (n - r)!) where n is the total number of items, r is the number of items to choose.

Front

How many ways can a coach choose 5 players from a team of 11?

Back

462 ways (C(11, 5) = 11! / (5! * 6!))

Front

What is the probability of selecting a brown M&M from a bowl with 20 candies?

Back

1/10 (2 brown candies out of 20 total candies).

Front

What is the difference between permutation and combination?

Back

Permutation considers the order of selection, while combination does not.

Front

How many arrangements can be made with the letters in the word 'RHOMBUS'?

Back

840 arrangements (4-letter arrangements from 7 distinct letters).

Front

If there are 6 countries to visit and 2 are chosen to skip, is this a permutation or combination?

Back

Combination (order does not matter).

Front

What is the probability of selecting a specific color from a set of colored candies?

Back

Probability = (Number of desired outcomes) / (Total number of outcomes).

Front

How many ways can Rob's parents choose 4 siblings from 7?

Back

35 ways (C(7, 4) = 7! / (4! * 3!)).

Front

What is the factorial of a number?

Back

The product of all positive integers up to that number (n! = n × (n-1) × ... × 1).

Front

How do you calculate the total number of arrangements of n distinct objects?

Back

n! (n factorial).