# Chapter 7 Permutations and Combinations

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Maths (MCQ)
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Class 11 Maths

## Chapter 7 Permutations and Combinations

Q1. The value of P(n, n-1) is

a. n

b. n!

c. 2n

c. 2n!

Q2. The number of ways in which 8 students can be seated in a line is

a. 5040

b. 50400

c. 40230

d. 40320

Q3. The number of ways 4 boys and 3 girls can be seated in a row so that they are alternate is

a. 12

b. 104

c. 144

d. 256

Q4. A coin is tossed n times, the number of all the possible outcomes is

a. 2n

b. 2n

c. C(n, 2)

d. P(n, 2)

Q5. There are 10 true-false questions in an examination. These questions can be answered in:

a. 20 ways

b. 100 ways

c. 512 ways

d. 1024 ways

Q6. In how many ways can we paint the six faces of a cube with six different colours?

a. 30

b. 6

c. 6!

d. None of the above

Q7. There are 12 points in a plane out of which 5 are collinear. The number of triangles formed by the points as vertices is

(a) 185

(b) 210

(c) 220

(d) 175

Q8. Four dice are rolled. The number of possible outcomes in which at least one dice show 2 is

(a) 1296

(b) 671

(c) 625

(d) 585

Q9. If repetition of the digits is allowed, then the number of even natural numbers having three digits is

(a) 250

(b) 350

(c) 450

(d) 550

Q10. The number of ways can the letters of the word ASSASSINATION be arranged so that all the S are together is

(a) 152100

(b) 1512

(c) 15120

(d) 151200 