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EgmatQuantExpert
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Since , there are total 5 digits.We need to worry about just 3 digits .
_ _ _ _ _
9 9 9 1 1 hence , total =9*9*9=729
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Hey kunalcvrce,

Your answer is correct.
But, this question can be done very quickly.

Do you want to give another try?

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Yes..I sure want to try


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Hey kunalcvrce,

Your answer is correct.
But, this question can be done very quickly.

Do you want to give another try?

Regards,
Ashutosh
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EgmatQuantExpert Aditya has answered in better way ..above


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Why it should not be 9*9*8 or 9*10*10 (Repetetion of digits allowed)?
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Hey kunalcvrce,

Your answer is correct.
But, this question can be done very quickly.

Do you want to give another try?

Regards,
Ashutosh
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Palindrome = xyzyx
X,Y, Z each can take 9 values
9x9x9= 729
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The 5 digit palindrome has to be as simple as XYZYX, i.e. consist of only 3 numbers.

X can be selected in 9 ways
Y can be selected in 9 ways
Z can be selected in 9 ways

So, total palindroms would be 9X9X9 = 729
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Shouldn't it be 900?

1st digit : 9 ways (1-9)
2nd digit: 10 ways (0-9)
3rd digit: 10 ways (0-9)
4th digit : 1 way
5th digit : 1 way

Any clarification will be appreciated!
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Shouldn't it be 900?

1st digit : 9 ways (1-9)
2nd digit: 10 ways (0-9)
3rd digit: 10 ways (0-9)
4th digit : 1 way
5th digit : 1 way

Any clarification will be appreciated!

Hi greenisthecolor

The digits are from 1-9 so 10 ways not possible


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kunalcvrce
greenisthecolor
Shouldn't it be 900?

1st digit : 9 ways (1-9)
2nd digit: 10 ways (0-9)
3rd digit: 10 ways (0-9)
4th digit : 1 way
5th digit : 1 way

Any clarification will be appreciated!

The digits are from 1-9 so 10 ways not possible


Oh yeah. Silly me. I am doing similar mistakes more often than i'd like to.
Thanks!
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Hello everyone,

Thanks for participation.

We have posted the official answer to the question.

Regards,
Ashutosh
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Bunuel: Please move to PS.
Thank you.
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Permutation and Combination - Practice Question #1

1-A palindrome is a number that reads the same forward and backward. For example, 1221 and 232 are palindromes. By using the numbers from 1-9, how many 5-digit palindromes can be created.

Options

    a) 648
    b) 729
    c) 800
    d) 900
    e) 1000

To solve Question 2: Question 2

To solve Question 3: Question 3

To read our article: Must Read Articles and Practice Questions to score Q51 !!!!
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Deconstructing the Question

A 5-digit palindrome has the form

\(a \ b \ c \ b \ a\)

because it must read the same forward and backward.

So only the first 3 digits are independent choices.

Step-by-step

Choose the first digit:

\(9\)

choices.

Choose the second digit:

\(9\)

choices.

Choose the third digit:

\(9\)

choices.

The fourth digit is forced to match the second digit, and the fifth digit is forced to match the first digit.

So the total number of 5-digit palindromes is

\(9 \times 9 \times 9 = 729\)

Answer B
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