Permutation & Combination Pop Quiz 2

Four letter are to be selected from the word RIGIDITY. How many different combination are there?

• 30

• 70

• 12

• 280

How many different four letter words can be formed (the word need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R.

• 17,160

• 59

• 477

• 715

IMU Student Representative Council would like to select a team comprises of 3 females and 4 males to compete in Sport Day’s competition.  There are a total of 8 females and 9 males committees to be chosen from. How many ways can the team be formed?

• 7056

• 5880

• 1016064

• 182

IMU Student Representative Council would like to select a team comprises of 3 females and 4 males to compete in Sport Day’s competition.  There are a total of 8 females and 9 males committees to be chosen from. How many ways can the team be formed if one particular female refused to be a member in which one particular male is taken?

• 5880

• 2450

• 3430

• 6435

How many different selections of four letters from the twelve’s letters of the word REFRIGERATOR if the selection contain exactly one R?

• 56

• 41

• 224

• 36

How many different arrangements there are of the eleven letters in the words GOLDEN MEDAL if the two letters D come first and the two letters L come last.

• 5040

• 2520

• 20160

• 10080

Felix has 10 different film CDs, of which 4 are Horror film, 3 are Romantic film and 3 are Comedy film. How many different arrangements of all 10 CDs on a shelf are there if the CDs for each genre must be together?

• 4200

• 864

• 5184

• 2592

The word COLUMBIA includes four consonants and four vowels. How many different arrangements are there if consonants and vowels are arranged alternately?

• 576

• 40320

• 1152

• 20160

In a school club, every member exchange high-five with every other member. If there are 1431 high-fives, determine the number of members in the club.

• 54

• 53

• 38

• 37