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How many numbers greater than a million can be formed with the

Question

How many numbers greater than a million can be formed with the digits $2, 3, 0, 3, 4, 2, 3$ ?

360

366

356

370

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Michael Discussed

How many numbers greater than a million can be formed with the digits

2, 3, 0, 3, 4, 2, 3

15 mins ago

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Text solutionVerified

A number greater than a million has

7

places, and thus all the

7

given digits are to be used.

But

2

is repeated twice and

3

is repeated thrice.

∴

Total number of ways of arranging these

7

digits amongst themselves

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

But numbers beginning with zero are no more seven digits numbers

Thus, we have to reject those numbers which begin with zero and such numbers are

\frac{6 !}{2 ! 3 !} = 60

Hence, the required number of arrangements

= 420 - 60 = 360

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Question Text	How many numbers greater than a million can be formed with the digits $2, 3, 0, 3, 4, 2, 3$ ?
Answer Type	Text solution:1
Upvotes	150