Worksheet: Combination Formula

Q1:

Determine the value of without using a calculator.

• A
• B
• C
• D
• E

Q2:

Determine the value of without using a calculator.

• A
• B
• C
• D
• E

Q3:

Given that , determine .

• A
• B
• C
• D

Q4:

Find the possible values of which satisfy the equation .

• A15
• B15 or 21
• C21
• D15 or 6
• E6

Q5:

Using the equations and to find the values of and , evaluate the expression .

Q6:

Find the value of given that .

Q7:

Write in the form .

• A
• B
• C
• D

Q8:

By applying the relation , deduce the value of .

Q9:

Given that , determine the value of .

Q10:

Evaluate .

Q11:

Evaluate .

• A
• B
• C
• D5
• E7

Q12:

If and , find and .

• A ,
• B ,
• C ,
• D ,

Q13:

Find all of the possible values of , given that .

• A8
• B13, 11
• C9
• D9, 8

Q14:

Given that and , find .

Q15:

If , find .

Q16:

If , determine .

• A10, 21
• B8, 2
• C9, 1
• D10, 7

Q17:

Find the value of such that .

Q18:

Given that , determine all the possible values of .

• A6
• B6 or 29
• C7
• D6 or 7
• E29

Q19:

Find the value of , given that and .

Q20:

Given that , determine and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q21:

Find and , such that and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q22:

Using the equation , evaluate the expression .

• A
• B
• C
• D

Q23:

Which of the following is equal to ?

• A
• B
• C
• D

Q24:

If , determine .

Q25:

Evaluate .

• A
• B
• C480
• D
• E