10000 digits can be used for 4 digit A.T.M code.
<u>Solution:</u>
Given that A.T.M required 4 digit codes using the digits 0 to 9.
Need to determine how many four digit code can be used.
We are assuming that number starting with 0 are also valid ATM codes that means 0789 , 0089 , 0006 and 0000 are also valid A.T.M codes.
Now we have four places to be filled by 0 to 9 that is 10 numbers
Also need to keep in mind that repetition is allowed in this case means if 9 is selected at thousands place than also it is available for hundreds, ones or tens place .
First digit can be selected in 10 ways that is from 0 to 9.
After selecting first digit, second digit can be selected in 10 ways that is 0 to 9 and same holds true for third and fourth digit.
So number of ways in which four digit number is created = 10 x 10 x 10 x 10 = 10000 ways
Hence 10000 digits can be used for 4 digit A.T.M code.
The slope would be 2. to find slope use the formula attached.
We need to simpify the given expression. The given expression to us is ,
<u>Given </u><u>Expression</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Using </u><u>Identity</u><u> </u><u>:</u><u>-</u><u> </u>
<u>So </u><u>that</u><u> </u><u>:</u><u>-</u><u> </u>
<u>We </u><u>have</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>-</u><u>1</u><u>/</u><u>4</u><u>. </u>
1. 2 3/4 = 11/4(2 * 4 + 3)
2. 1 1/4 = 5/4(1 * 4 + 1)
11/4 * 5/4 = 55/16 OR 3 7/16 if simplified.
