Combinations and Permutations

The number of four letters that can be chosen from the alphabets is.

• 19540

• 35880

• 14950

• None of the above

Find the number of ways in which 3 components can be selected from a batch of 20 different components

• 6840

• 1140

• 402

• none of the above

Out of 5 mathematician and 7 engineers, a committee consisting of 2 mathematicians and 3 engineers is to be formed. In how many ways can this be done if any mathematician and any engineer can be included?

• 605

• 105

• 150

• 350

₂₀C₁₈

• 0
• 1
• 190
• 1140

Picking a team of three people out of a group of 10.

• Permutation
• Combination
• Neither

4 letters are chosen at random from the word RANDOMLY. In how many ways can this selection be made?

• 24

• 1680

• 70

• 40320

• 438

How many basketball games are played in a 10-team league if each team plays all other teams TWICE?

• 90
• 45
• 180
• 100

Of the first 8 questions on a test, a student must answer 6. Of the next 7 questions, 4 must be answered. In how many ways can this be done?

• 620
• 240
• 980
• 1010

Six friends are going to play a ball game.  Each team has 3 players.  How many different team combinations are possible?

• 120
• 6
• 18
• 20

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

• 12
• 60
• 15