we can multiply the converted weight of pounds in ounces by the number of jelly beans

16*16=96

96*16=256

256 jellybeans

16*16=96

96*16=256

256 jellybeans

Question

asked 2021-07-30

Exercise 1: Counting binary strings.

Count the number of binary strings of length 10 subject to each of the following restrictions.

There is only one binary string of length ten with no 1's: 00000000000. There are \(\displaystyle{2}^{{{10}}}\) binary strings of length ten. Therefore the number of binary strings of length ten with at least one 1 is \(\displaystyle{2}^{{{10}}}-{1}\).

(b)

The string has at least one 1 and at least one 0.

(c)

The string contains exactly five 1's or it begins with a 0.

Exercise 2: Counting integer multiples.

(b)

How many integers in the range 1 through 140 are integer multiples of 2, 5, or 7?

Count the number of binary strings of length 10 subject to each of the following restrictions.

There is only one binary string of length ten with no 1's: 00000000000. There are \(\displaystyle{2}^{{{10}}}\) binary strings of length ten. Therefore the number of binary strings of length ten with at least one 1 is \(\displaystyle{2}^{{{10}}}-{1}\).

(b)

The string has at least one 1 and at least one 0.

(c)

The string contains exactly five 1's or it begins with a 0.

Exercise 2: Counting integer multiples.

(b)

How many integers in the range 1 through 140 are integer multiples of 2, 5, or 7?

asked 2021-08-10

The number 6 has exactly four different factors: 1,2,3, and 6. How many different factors does the number 36 have?

asked 2021-08-16

How many strings are there of four lowercase letters that have the letter x in them?

asked 2021-08-01

If repetitions are not permitted (a) how many 3 digit number can be formed from the six digits 2,3,5,6,7 and 9? (b) how many of these are less than 400? (c) how many are even? (d) how many are odd? (e) how many are multiples of 5?