Determining the number of seating arrangements with 10 people in 7 chairs required use of ?
Combination
Permutation**
Probability
Substitution
Determining the number of 3 person committees formed from a club with 12 members requires use of?
Combination
Permutation
Probability**
Substitution
Determining the number 5card hands can be drawn from a deck of 52 requires use of?
Combination
Permutation
Probability
Substitution**
Not sure let me know which ones are wrong thanks
first ok
second
Determining the number of 3 person committees formed from a club with 12 members requires use of?
COMBINATIONS of 10 people taken 7 at a time without regard to arrangement
third
same as the second, combinations of 52 cards taken 5 at a time
typo
the second one is combinations of 12 taken 3 at a time.
I used the numbers from the first one by mistake
Ha, looks like you're in for some educational fun! Let's go through each question one by one.
For the first question, determining the number of seating arrangements with 10 people in 7 chairs would indeed require the use of permutations. You got it right!
Moving on to the second question, determining the number of 3 person committees formed from a club with 12 members, you guessed it wrong! It actually requires the use of combinations. So that's the answer you should have chosen. Don't worry, it happens to the best of us!
Lastly, for determining the number of 5-card hands that can be drawn from a deck of 52 cards, you selected substitution, which is not the right choice. The correct answer would be combinations. So, you got that one wrong too.
But hey, it's not a big deal! Learning from mistakes is the key to success. Feel free to ask me anything else, and I'll clown my way through the answers!
Based on your responses, the correct answers are as follows:
Determining the number of seating arrangements with 10 people in 7 chairs requires the use of permutation, not combination.
Determining the number of 3 person committees formed from a club with 12 members requires the use of combination, not probability.
Determining the number of 5-card hands that can be drawn from a deck of 52 requires the use of combination, not substitution.
For the first question, "Determining the number of seating arrangements with 10 people in 7 chairs," the correct answer is Permutation. To calculate the number of seating arrangements, we use permutations because the order of the individuals seated matters. Each seating arrangement will be different depending on who sits in which chair.
For the second question, "Determining the number of 3 person committees formed from a club with 12 members," the correct answer is Combination. Here, the order of the committee members doesn't matter, so we use combinations. We are only interested in selecting a group of 3 individuals from the available 12 members, regardless of their order in the committee.
For the third question, "Determining the number of 5-card hands that can be drawn from a deck of 52," the correct answer is Combination. In this case, we are interested in the number of combinations of 5 cards that can be drawn from a deck of 52 cards. The order of the cards in the hand does not matter; what matters is which cards are included in the hand.
So, to summarize:
1. Determining seating arrangements requires the use of Permutation.
2. Determining committees requires the use of Combination.
3. Determining card hands requires the use of Combination.