Permutation, Combination and Probability

An arrangement of finite numbers of objects taken some or all at a time is called their _______.

• Combination

• Permutations

• Probability

• Sequence

Which of the following determines the number of possible groups of a collection of items where the order of the elements does not matter?

• FCP

• Permutation

• Combination

• Probability

Evaluate: 12𝐶3.

• 2,200

• 1,320

• 220

• 132

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?

• 40

• 210

• 2520

• 5040

In how many ways can 5 people be seated in a room with 7 seats?

• 1200

• 2100

• 2520

• 3150

Which of the following situation does not require combination?

• Forming a committee of councilors.

• Assigning rooms to conference participants.

• Selecting the top 3 winners in a singing contest.

• Choosing two literature books to buy from a variety of choices.

Which is true in forming a three-digit odd number from the digits 0-9 with repetition?

• There are 10 choices for the hundreds digit.

• There are 5 choices for the ones digit.

• There are 9 choices for the tens digit.

• Zero can be place in the hundreds digit.

How many 3-digit EVEN numbers can be formed from the digits 0, 1, 2, 3,4,5,7,8,9 if no digit is repeated in the number?

• 168

• 224

• 360

• 256

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

• power of n

• multiples of n

• n-factors

• n-factorial

If P(n,4)=5040, then n=_____.

• 12

• 10

• 9

• 828