Counting Techniques

How many permutations are in the word MEDIAN?

• 6

• 120

• 720

• 5040

In the word MEDIAN, how many permutations begin with a consonant and end with a vowel?

• 24

• 144

• 216

• 360

In the word MEDIAN, how many permutations are there if the vowels and consonants alternate?

• 36

• 72

• 108

• 144

In the word MEDIAN, how many permutations have the vowels together?

• 36

• 72

• 108

• 144

In the word MEDIAN, how many permutations begin with a vowel?

• 360

• 144

• 108

• 36

A set contains the digits 0, 1, 2, 4, 5, 7, 9. How many 3-digit numbers can be formed if repetition is NOT allowed?

• 120

• 180

• 210

• 720

A set contains the digits 0, 1, 2, 4, 5, 7, 9. How many 3-digit numbers can be formed if repetition is allowed?

• 343

• 294

• 210

• 180

A set contains the digits 0, 1, 2, 4, 5, 7, 9. How many 3-digit even numbers can be formed if repetition is NOT allowed?

• 80

• 90

• 100

• 120

A set contains the digits 0, 1, 2, 4, 5, 7, 9. How many 3-digit numbers are greater than 425 if repetition is NOT allowed?

• 90

• 100

• 105

• 120

Eight SSC students (4 males and 4 females) sit in a row of 8 chairs. How many arrangements are there if no male is to sit next to a female?

• 40320

• 2880

• 1152

• 576