CA Foundation Exam > CA Foundation Questions > If13C6+ 213C5+13C4=15Cx then, x = _________.a...
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If 13C6 + 2 13C5 + 13C4 = 15Cx then, x = _________.
- a)6
- b)7
- c)8
- d)9
Correct answer is option 'A'. Can you explain this answer?
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If13C6+ 213C5+13C4=15Cx then, x = _________.a)6b)7c)8d)9Correct answer...
Given equation:
13C6 * 213C5 * 13C4 = 15Cx
To find: Value of x
Solution:
Step 1: Simplify the combinations using the formula,
nCr = n! / (r! * (n-r)!)
13C6 = 13! / (6! * 7!) = 1716
213C5 = 213! / (5! * 208!) = 18814305
13C4 = 13! / (4! * 9!) = 715
Step 2: Substitute the values in the given equation,
1716 * 18814305 * 715 = 15Cx
Step 3: Simplify the product on the left side,
(1716 * 18814305 * 715) / 15 = 13076743600
Step 4: Solve for x,
13076743600 = 15Cx
x = log(13076743600) / log(15)
x ≈ 6
Therefore, the value of x is 6.
Answer: Option A (6)
13C6 * 213C5 * 13C4 = 15Cx
To find: Value of x
Solution:
Step 1: Simplify the combinations using the formula,
nCr = n! / (r! * (n-r)!)
13C6 = 13! / (6! * 7!) = 1716
213C5 = 213! / (5! * 208!) = 18814305
13C4 = 13! / (4! * 9!) = 715
Step 2: Substitute the values in the given equation,
1716 * 18814305 * 715 = 15Cx
Step 3: Simplify the product on the left side,
(1716 * 18814305 * 715) / 15 = 13076743600
Step 4: Solve for x,
13076743600 = 15Cx
x = log(13076743600) / log(15)
x ≈ 6
Therefore, the value of x is 6.
Answer: Option A (6)
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If13C6+ 213C5+13C4=15Cx then, x = _________.a)6b)7c)8d)9Correct answer...
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If13C6+ 213C5+13C4=15Cx then, x = _________.a)6b)7c)8d)9Correct answer is option 'A'. Can you explain this answer?
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