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Lesson 1 Quiz: Counting Principle, Permutations (nPr) and Combinations (nCr)

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1.
If nC3 = nC7, what is the value of n?
10
21
7
4
2.
The sum to infinity of the geometric series 12 + 6 + 3 + 1.5 + ... equals:
18
Infinity
36
24
3.
If (x - 1, x + 2, 3x) form a geometric sequence, the positive value of x is:
4
6
2
3
4.
The sum to infinity of the geometric series 16 + 8 + 4 + 2 + ... equals:
32
64
24
30
5.
The number of terms in the expansion of \((x + 3y)^{10}\) is equal to:
B) 10
C) 11
D) 20
A) 9
6.
The sum of all coefficients in the expansion of \((3x - 2y)^7\) is equal to:
C) 0
D) 128
A) 1
B) \(5^7\)
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