On the refrigerator, mathematics is spelled out with $11$ magnets, one letter per magnet. two vowels and four consonants fall off and are put away in a bag. if the t's, m's, and a's are indistinguishable, how many distinct possible collections of letters could be put in the bag

Question

04-01-2019
Mathematics

contestada

On the refrigerator, mathematics is spelled out with $11$ magnets, one letter per magnet. two vowels and four consonants fall off and are put away in a bag. if the t's, m's, and a's are indistinguishable, how many distinct possible collections of letters could be put in the bag

Respuesta :

Otras preguntas

Which of the following corrects the pronoun error in this passage? The sixth-grade students liked volunteering their time to read to the elderly people in the h

Increase 260kg by 10% and then decrease the result by 10%

Find b and c so that (7, b, c.is orthogonal to both (1, 2, 3) and (1, −2, 1).

True or false: When an organism practices external fertilization, many offspring, often millions, are produced in order to enhance chances of survival.

last 2 options are sexual & stabilizing

During the Cold War, people were afraid of communists, both outside and inside the United States. The Red Scare and McCarthyism that grew out of these fears was

When sodium carbonate (Na2CO3) dissolves in water, it partially ionizes. The carbonate (CO3-) ion takes up a hydrogen ion and forms HCO3-. What type of substanc

Can someone show me how to solve this?

1.what did the united states do when war began in Europe in 1939 2.What did Franklin Roosevelt ask of Britain for sending supplies to them in the lend lease pr

the length of a rectangle is 2 feet longer than the width. the perimeter is 24 feet. find the dimensions of the rectangle.

masterkole1122 masterkole1122 · Answer 1 · 2019-01-04T12:08:42+01:00

ANSWER: 8 distinct possible collections

EXPLANATION:

Non extraneous information (Information that matters):
- Mathematics has 11 letters
- The bag must contain 4 vowels and 2 consonants
- t's, m's, and a's are indistinguishable
———
Bag Combinations Step 1:
List all:
aeaimt
aeaimh
aeaimm
aeaimc
aeaims
aeaith
aeaitt
aeaitc
aeaits
aeaihc
aeaihs
aeaics
———
Bag Combinations Step 2:
Change all t's, m's, and a's to another variable so they are indistinguishable (k) :
kekikk
kekikh
kekikk
kekikc
kekiks
kekikh
kekikk
kekitc
kekiks
kekihc
kekihs
kekics
———
Bag Combinations Step 3:
Remove doubles and list:
kekikk
kekikh
kekikc
kekiks
kekitc
kekihc
kekihs
kekics