Permutations and Combinations

The number of ways of arranging 5 people in a row is:

1. 25
2. 60
3. 120
4. 150

If nPr = nCr × r!, then the relation shows that:

1. Permutations depend on combinations
2. Combinations depend on factorial only
3. Factorial is unnecessary
4. Permutations and combinations are equal

The number of ways to choose 2 students from a class of 5 students is:

1. 5
2. 10
3. 20
4. 25

The value of 10C0 is:

1. 0
2. 1
3. 10
4. 100

The number of ways to arrange the letters of the word "BOOK" is:

1. 24
2. 12
3. 6
4. 4

The number of diagonals in a polygon with n sides is:

1. n(n+1)/2
2. n(n-3)/2
3. n(n-1)/2
4. n²

If nC1 = 10, then the value of n is:

1. 5
2. 10
3. 1
4. 20

In how many ways can the letters of the word "CAT" be arranged?

1. 3
2. 6
3. 9
4. 12

The value of 7P3 is:

1. 210
2. 35
3. 120
4. 105

The number of ways to select a committee of 3 students from 8 students is:

1. 56
2. 24
3. 48
4. 16

The value of 6C2 is:

1. 10
2. 12
3. 15
4. 20

The formula for combinations is:

1. n!/(n-r)!
2. n!/r!
3. n!/[r!(n-r)!]
4. r!/n!

The number of ways of arranging 4 different books on a shelf is:

1. 4
2. 12
3. 24
4. 16

The value of 5! is:

1. 25
2. 60
3. 120
4. 150

The number of permutations of n different objects taken r at a time is:

1. nCr
2. nPr
3. n!
4. r!