S={1,2,3,4,5}.(a) Pick 3 numbers fromSwithout repetition to make a 3-digit integer. How manypossible integers can we...

S={1,2,3,4,5}.(a) Pick 3 numbers fromSwithout repetition to make a 3-digit integer. How manypossible integers can we get?(b) Pick 3 numbers fromSwithout repetition to make a 3-digit integer. How manypossible integers are divisible by 5?(c) Pick 3 numbers fromSwithout repetition to make a 3-digit integer. How manypossibleoddintegers can we get?(d) Pick 3 numbers fromSto make a 3-digit integer if repetition is allowed. How manypossibleoddintegers can we get?

Expert Solution

orchestra answered 1 year ago

a) How many 3-digit numbers are there? b) How many 3-digit numbers can you make with...

a) How many 3-digit numbers are there? b) How many 3-digit numbers can you make with all three digits different? c) How many of the numbers is part b) are odd?

how many 4 digit numbers divisible by 5 can be formed from 0,1,3,5,7,9 if repetition is...

how many 4 digit numbers divisible by 5 can be formed from 0,1,3,5,7,9 if repetition is not allowed and 0 and 1 Can not be next to each other. i can do the first part. there are 2 cases case 1, the number ends in zero. 5 x 4 x 3 x 1. but i dont know how to account for the zero and one not being able to be next to each other. i counted 12 possible numbers that...

How many 3-digit numbers can we make using the digits 1, 2, 3, 4, 5, 6...

How many 3-digit numbers can we make using the digits 1, 2, 3, 4, 5, 6 without repetitions? How about with repetitions (meaning different digits can hold the same number; e.g., 223 and 444 are valid 3-digit numbers in the with repetitions case)?

a. How many 3-digit numbers can you make using the digits from the set of (3,...

a. How many 3-digit numbers can you make using the digits from the set of (3, 4, 5, 6, 8, 2, 7) without repetitions? b. How many numbers can be made with the digits from the set of (0, 3, 5, 7, 8, 4, 9), which are greater than 0 and less than a thousand (repetitions are allowed)?

How many valid 3 digit numbers can you make using the digits 0, 1, 2 and...

How many valid 3 digit numbers can you make using the digits 0, 1, 2 and 3 without repeating the digits? How about with repeating?

How many 4 digit numbers can be formed using only the numbers 3 2 7 6...

How many 4 digit numbers can be formed using only the numbers 3 2 7 6 5 4 9 if: a) there are no repeats allowed? b) the number is odd and no repeats allowed? c) the number is greater than 4000 and no repeats are allowed? d) the number is greater than 4000 and repeats are allowed?

Question1: How many of the 5-digit numbers that can be written with the numbers 1, 2,...

Question1: How many of the 5-digit numbers that can be written with the numbers 1, 2, 3, 4 contain both numbers 1 and 2? question2: 3 married couples shown as a1a2, b1b2, c1c2 want to sit in a row. How many different ways can these married couples sit in a row, without a husband and a wife from the same couple coming together?

How many even 4-digit numbers can be formed from the digits 1, 2, 3, 6, and...

How many even 4-digit numbers can be formed from the digits 1, 2, 3, 6, and 9 with no repetitions allowed? (Hint: Try filling the units place first.)

How many three-digit numbers can be formed from the digits 0,1, 2, 3, 4, 5, 6,...

How many three-digit numbers can be formed from the digits 0,1, 2, 3, 4, 5, 6, 7, and 8 if each digit can be used only once? I got this: 448 How many are greater than 330? <- I don't understand how to answer this. I have looked up the answer and could probably figure it out, but please explain where the numbers you are multiplying are coming from. I want to learn how to answer this type of question...

PERMUTATIONS How many tablets of 3 letters and 3 numbers can we form with the letters...

*PERMUTATIONS* How many tablets of 3 letters and 3 numbers can we form with the letters {A, B, C, D, E} and the 10 digits if the tablet should have: ◦ Letters and numbers should be kept together without repetition? ◦ Letters and numbers should be kept together with repetition? ◦ Letters and numbers do not have to be kept together without repetition? ◦ Letters and numbers do not have to be kept together with repetition?

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