Answered

Kumonekta sa mga eksperto at makakuha ng mga sagot sa IDNStudy.com. Sumali sa aming platform ng tanong at sagot upang makakuha ng eksaktong tugon sa lahat ng iyong mahahalagang tanong.

How many distinguishable permutations can be made from the number 2,4,5 5and 4?
Show your solution please

Sagot :

MissyArelleeeeeidn

PROBLEM:

How many distinguishable permutations can be made from the number 2, 4, 5, 5 and 4?

SOLUTION:

• To find the number of ways you arrange the numbers in 24554, we'll use the formula for distinguishable permutation.

• Since the numbers 4 and 5 have been used twice, our given will be n = 5, p = 2 and q = 2.

[tex]\begin{gathered}\begin{gathered}\begin{gathered} \huge \boxed{\large \begin{array}{l}\tt P=\frac{n!}{p!q!} = \frac{5!}{2!2!}\\ \tt P= \frac{ 5 \times4\times 3 \times 2 \times 1}{ 2 \times 1 \times 2 \times 1 }\\ \tt P= \frac{120}{4} \\ \tt P= 30\end{array}} \end{gathered} \end{gathered} \end{gathered} [/tex]

ANSWER:

• Thus, there are 30 ways you can arrange the given numbers or what we call the distinguishable permutations.

Pinahahalagahan namin ang bawat tanong at sagot na iyong ibinabahagi. Patuloy na magbahagi ng impormasyon at karanasan. Sama-sama tayong magtatagumpay. Bawat tanong ay may sagot sa IDNStudy.com. Salamat at sa muling pagkikita para sa mas maraming solusyon.