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How many different 9 digit numbers can be made with 3 fours, 4

Question

How many different $9$ digit numbers can be made with $3$ fours, $4$ twos and $2$ threes?

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Henry Discussed

How many different

9

digit numbers can be made with

3

fours,

4

twos and

2

threes?

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

According to the question,

Total given numbers = 9 (Three - four, four - twos and 2 - three)

No of ways =

\frac{9 !}{( 3 ! * 4 ! * 2 !)}

( Denominator is for repetation of numbers )

= \frac{( 9 * 8 * 7 * 6 * 5 * 4 !)}{( 6 * 4 ! * 2 )}

= (9 * 4 * 7 * 5)

= 1260

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Question Text	How many different $9$ digit numbers can be made with $3$ fours, $4$ twos and $2$ threes?
Answer Type	Text solution:1
Upvotes	150