MATH 10 Q3-Summative 1

1. Which of the following situations or activities involves permutation?

• Matching skirts and pants

• Forming different triangles out of 5 points on a plane, no three of which is collinear

• Assigning telephone numbers to subscribers

• forming committee from the members of a club

1. How many different 4-digits even numbers can be formed from the digit 1, 3, 5, 6,8 and 9 if no repetition of digit is allowed?

• 1680

• 840

• 420

• 120

1. In a town fiesta singing competition with 12 contestants, in how many ways can the organizer arrange the first three singers?

• 132      

• 990

• 1320

• 1716

1. What is P (8,5)?

• 56

• 336

• 1400

• 6720

Three boys and two girls are photographed. In how many ways can they be arranged in a row?

• 12       

• 120

• 210     

• 102

How many words can be form using all letter of the word SAD?

• 6

• 8

• 12

• 14

In how many ways can you write a³b²c⁴ in expanded form?

• 1260

• 2160    

• 6210    

• 7450

How many ways can 5 boys and 5 girls be seated at round table if no restriction is imposed?

• 388 620

• 362 880

• 288 362

• 128 800

In how many different ways can 5 bicycles be parked if there are 7 available parking spaces?

• 2520

• 2050    

• 520      

• 250

The product of a positive integers n and all positive integers less than is.

• powers of n

• multiple of n    

• n-factors

• n factorial