Table of Contents
- 1 How many ways can 6 marbles be arranged into different rows and columns?
- 2 How many ways can 5 differently colored marbles be arranged in a row?
- 3 How many combinations of 6 items are there?
- 4 What is the probability of tossing three tails of marbles?
- 5 How many green marbles do you need to get 9 blue marbles?
How many ways can 6 marbles be arranged into different rows and columns?
Step-by-step explanation: = 720 ways.
How many ways can be 6 bags be arranged in a row?
There are 720 ways.
How many ways can 5 differently colored marbles be arranged in a row?
Answer: = 60 different arrangements.
How many arrangements are possible if only 3 of them are chosen?
= 6 possible arrangements of three objects. There are 3 2 1 = 3! arrangements of 3 objects. Using the nPr notation, from a set of 3 objects we are choosing 3.
How many combinations of 6 items are there?
For any combination of items, each item is either included or not included in the combo. That means each item has 2 possibilities for every combination. For 6 items, that would make the number of combinations = 2^6 = 64.
How many ways can you arrange 5 things?
120 ways
So we say that there are 5 factorial = 5! = 5x4x3x2x1 = 120 ways to arrange five objects.
What is the probability of tossing three tails of marbles?
The probability of tossing no heads is only possible with the combination TTT. The probability of tossing three tails is equal to (1/2) (1/2) (1/2) = 1/8 Probability of tossing at least one head = 1 – 1/8 = 7/8 . A jar of marbles has 125 marbles in it. 25 are blue marbles, 65 are red marble, 15 are green marbles and 20 are yellow marbles.
How many ways can you re-arrange 3 people in a sentence?
Well, we have 3 choices for the first person, 2 for the second, and only 1 for the last. So we have 3 ∗ 2 ∗ 1 ways to re-arrange 3 people.
How many green marbles do you need to get 9 blue marbles?
Therefore, we need to take at least 9 green marbles, which would mean 4 or less of the marbles would be blue (8 green and 5 blue would leave us with equal green and equal blue marbles, so it would have to be more than 8 green marbles, which gives us 9 green marbles). We can also solve this as an inequality.
What is the sum of two dice rolled together?
There are 36 possible outcomes of the additive dice roll. The way to roll a sum of 9 is 6 (and vice versa) and 3 or 5 and 4 (and vice versa). This is possible 4 of the 36 times, giving a probability the sum of the two dice rolled of 4/36 or 1/9.