**Solve the following. (mod4) 1. How many 3-digit number can be formed from digits 1 ā 5 if: a. If repetition is allowed? b. If repetition is not allowed? 2. How many strings of length 4 can be formed using the letters COMPUTER if repetitions are not allowed? 3. Out of 17 regions in the country, ten will be chosen to be included in a survey. How many ways of selecting 10 out of 17 regions? 4. Expand the (2š„ ā š¦)3 using binomial coefficient. 5. Find for the coefficient of the following: a. x4y3 after the expansion of (x ā 2y )7 b. x6y6 after the expansion of (2x + y )12 6. Find the 9th term of the expression (2x + y )12**

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Solve the following. (mod4)

1. How many 3-digit number can be formed from digits 1 ā 5 if:

a. If repetition is allowed?

b. If repetition is not allowed?

2. How many strings of length 4 can be formed using the letters

COMPUTER if repetitions are not allowed?

3. Out of 17 regions in the country, ten will be chosen to be included

in a survey. How many ways of selecting 10 out of 17 regions?

4. Expand the (2š„ ā š¦)3 using binomial coefficient.

5. Find for the coefficient of the following:

a. x4y3 after the expansion of (x ā 2y )7

b. x6y6 after the expansion of (2x + y )12

6. Find the 9th term of the expression (2x + y )12