Find the number of distinguishable permutations of the digits of the number 838,...

Questions

nobodyknows21 @nobodyknows21

August 2022 1 1 Report

Find the number of distinguishable permutations of the digits of the number 838, 969, 696

Answers & Comments

MissyArelleeeee

Verified answer

PROBLEM:

Find the number of distinguishable permutations of the digits of the number 838, 969, 696.

$\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}$

SOLUTION:

• To find the number of ways you arrange the numbers in 838, 969, 696, we'll use the formula for distinguishable permutation.

• Since there are 9 numbers in total and number 8 have been used twice while 9 and 6 has been used thrice, our given will be n = 9, p = 2, q = 3 and r = 3.

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \huge \boxed{\large \begin{array}{l}\rm P=\frac{n!}{p!q!r!} = \frac{9!}{2!3!3!}\\ \rm P= \frac{9 \times 8 \times 7 \times 6 \times 5 \times4\times 3!}{ 2 \times 1 \times 3\times 2 \times 1 \times 3! }\\ \rm P= \frac{60,480}{12} \\ \rm P= 5040\end{array}} \end{gathered} \end{gathered} \end{gathered}\end{gathered}$

ANSWER:

• Thus, there are 5040 distinguishable permutations of the digits of the number 838, 969, 696.

Questions

Answers & Comments

Verified answer

PROBLEM:

SOLUTION:

ANSWER:

Add an Answer

find the sum of the arithmetic sequence given that a12 d5 and n8

what is the sum of arithmetic sequence given the first and the last terms as a1=...

2 if a line is tangent to the circle x y 12x 12y 52 0 at 104 wha

the third term of the arithmetic sequence is 9 the fifth term is 17. what is the...

If three arithmetic means are inserted between -36 and 4, which of the following...

find r in the geometric sequence 1 4 32 128

what are defense for literally and figuratively

patulong po tatlo nalang

Sa mga Grade 10 modular po dyan pa tulong naman po kung paano ito, di ko po main...

Gaano na katagal ang mga bilanggo sa yungib.a. Mula pagsilangb. Mula pa sa pagka...

Recommend Questions

Helpful Links

Helpful Social