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  • If repetition is not allowed, how many 6-digit numbers can be created using the digits in 589321546?Option: 1 44380<div class

If repetition is not allowed, how many 6-digit numbers can be created using the digits in 589321546?

Option: 1

44380


Option: 2

50120


Option: 3

32480

 


Option: 4

60480


Answers (1)

best_answer

Given that,

Forming a 6-digit number using the digits 589321546.

The total number of digits is 9.

This is done by,

\begin{aligned} &{ }^9 P_6=\frac{9 !}{(9-6) !}\\\\ &{ }^9 P_6=\frac{9 !}{3 !}\\\\ &{ }^9 P_6=\frac{9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2}{3 \times 2}\\\\ &{ }^9 P_6=9 \times 8 \times 7 \times 6 \times 5 \times 4\\ \end{aligned}

\begin{aligned} &{ }^9 P_6=60480 \end{aligned}

Therefore, the total number of ways the 6-digit number is formed is 60480.

Posted by

seema garhwal

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