My Letter Arrangement Determine the number of arrangements of the letter of each...

Questions

November 2022 1 1 Report

My Letter Arrangement Determine the number of arrangements of the letter of each word. 1. FOREVER 2. MINIMUM 3. DIFFERENCE 4. VOLLEYBALL 5. ARRANGEMENT

Answers & Comments

Gramr

Answer:

1. 1,260

2. 420

3. 302,400

4. 151,200

5. 2,494,800

Step-by-step explanation:

The formula for the permutations with identical object is $\frac{n!}{n_{1}!n_{2}!n_{3}!...n_{k}!}$

1. $n=7$ , $n_{1} =2$ (letter R), $n_{2} =2$ (letter E)

$P=\frac{7!}{2!2!} =1,260$

2. $n=7$ , $n_{1} =3$ (letter M), $n_{2} =2$ (letter I)

$P=\frac{7!}{3!2!} =420$

3. $n=10$ , $n_{1} =2$ (letter F), $n_{2} =3$ (letter E)

$P=\frac{10!}{2!3!} =302,400$

4. $n=10$ , $n_{1} =4$ (letter L)

$P=\frac{10!}{4!} =151,200$

5. $n=11$ , $n_{1} =2$ (letter A), $n_{2} =2$ (letter R), $n_{3} =2$ (letter N), $n_{4} =2$ (letter E)

$P=\frac{11!}{2!2!2!2!} =2,494,800$

airek03 thank you Po brainliest nalang Po kita

airek03 salamat Po ng marami

avisalalasada ano yan

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