Permutation & Combination MCQs

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

• (a) 63
• (b) 90
• (c) 126
• (d) 45
• (e) 135

How many 4-letter words with or without meaning can be formed out of the letters of the word “LOGARITHMS,” if repetition of letters is not allowed?

• (a) 40
• (b) 400
• (c) 2520
• (d) 5040

In how many different ways can the letters of the word “MATHEMATICS” be arranged so that the vowels always come together?

• (a) 10080
• (b) 120960
• (c) 4989600
• (d) None of these

In how many different ways can the letters of the word “OPTICAL” be arranged so that the vowels always come together?

• (a) 120
• (b) 720
• (c) 2160
• (d) 4320
• (e) None of these