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  • How many different seven-digit numbers can be created by using all 7 of the digits 3, 3, 5, 5, 5, 6, and 6 respectively.Option: 1 <img alt=

How many different seven-digit numbers can be created by using all 7 of the digits 3, 3, 5, 5, 5, 6, and 6 respectively.

Option: 1

210


Option: 2

245


Option: 3

301


Option: 4

375


Answers (1)

best_answer

The given 7 digits are 3, 3, 5, 5, 5, 6, and 6.

The total number of digits is 7.

Thus, the number of different 7-digits can be formed is given by,

\begin{aligned} &\frac{7 !}{2 ! 3 ! 2 !}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2}{2 \times 3 \times 2 \times 2}\\ &\frac{7 !}{2 ! 3 ! 2 !}=210 \end{aligned}

Therefore, the total number of ways to form 7-digits is 210.

 

Posted by

Ritika Jonwal

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