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8 - digit numbers are formed using the digits 1, 1, 2, 2, 2, 3

Question

$8$ - digit numbers are formed using the digits $1, 1, 2, 2, 2, 3, 4, 4$ . The number of such numbers in which the odd digits do not occupy odd places, is :

160

120

60

48

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8

- digit numbers are formed using the digits

1, 1, 2, 2, 2, 3, 4, 4

. The number of such numbers in which the odd digits do not occupy odd places, is :

13 mins ago

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13 mins ago

Text solutionVerified

Odd = 1, 1, 3 Even = 2, 2, 2, 4, 4.

(2, 2, 2, 4) + (2, 2, 4, 4)

\Rightarrow \frac{4 !}{3 !} \times \frac{4 !}{2 !} + \frac{4 !}{2 ! 2 !} \times \frac{4 !}{2 !}

\Rightarrow 4 \times 12 + 6 \times 12

\Rightarrow 48 + 72

= 120

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Question Text	$8$ - digit numbers are formed using the digits $1, 1, 2, 2, 2, 3, 4, 4$ . The number of such numbers in which the odd digits do not occupy odd places, is :
Answer Type	Text solution:1
Upvotes	150