Class 11 Mathematics · Chapter 7 · Test 1
Factorials and Permutations
46 MCQs Covers factorial notation, the formula for nPr, and words, flags, digits and seating counts. Includes proofs of the permutation identities and the counting problems from the exercises
46 questions · 40 min · 46 marks
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Sample questions
The first 5 of 46. Try each one, then tap to see the answer.
Question 1
If event A can occur in m ways and event B can occur in n ways then the two events together can occur in:
- Am + n
- Bm x n
- Cm^n
- Dm - n
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Answer: B
By the fundamental principle of counting the total number of ways is the product m x n.
Question 2
The value of 0! is:
- A1
- B0
- C2
- Dundefined
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Answer: A
By definition 0! = 1.
Question 3
For a positive integer n the factorial n! is defined as:
- An(n+1)(n+2)...
- Bn + (n-1) + ... + 1
- Cn^n
- Dn(n-1)(n-2)...3.2.1
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Answer: D
n! is the product of all positive integers from n down to 1.
Question 4
The value of 5! is:
- A24
- B60
- C120
- D720
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Answer: C
5! = 5 x 4 x 3 x 2 x 1 = 120.
Question 5
The value of 6! is:
- A120
- B720
- C5040
- D360
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Answer: B
6! = 6 x 5! = 6 x 120 = 720.
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