<span>You are given the word alabama and you are asked to find how many distinguishable 7 letter "words" can be formed from it.
ALABAMA has seven letters so we will start at 7!
Counting the number of A's in the word we have 4 A's and so we will divide it by 4!
</span>Counting the number of L's in the word we have 1 L and so we will divide it by 1!
Counting the number of B's in the word we have 1 B and so we will divide it by 1!
Counting the number of M's in the word we have 1 M and so we will divide it by 1!
And so the number of ways is 7! / (4! x 1! x 1! x 1!) = 210 words.
Answer:
12 pencils
Step-by-step explanation:
let no. of pencils bought be x.
54 - 0.75x - 2.50 = 42.50
9 = 0.75x
x = 12
Topic: algebraic equations
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Answer: Keith can make 10 batches of cupcakes.
Step-by-step explanation:
To make cupcakes, he needs 1 3/10 cups of flour per batch of cupcakes. Converting 1 3/10 cups of flour into improper fraction, it becomes 13/10 cups of flour.
Let x represent the number of batches of cupcakes that Keith can make If Keith has 13 cups of flour, . Therefore,
13/10 cups of flour = 1 batch of cupcakes
13 cups of flour = x batch of cupcakes
Cross multiplying, it becomes
13/10 × x = 13 × 1
13x/10 = 13
13x = 13 × 10 = 130
x = 130/13 = 10
There are no irrational numbers because all these fractions come to a stop
