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The ways of selecting 4 letters from the word EXAMINATION is
- a)136
- b)130
- c)125
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The ways of selecting 4 letters from the word EXAMINATION isa)136b)130...
Explanation:
To select 4 letters from the word EXAMINATION, we need to use the combination formula.
Combination formula: nCr = n! / r!(n-r)!
where n = total number of elements, r = number of elements to be selected
Using the above formula, we get:
n = 11 (total number of letters in the word EXAMINATION)
r = 4 (number of letters to be selected)
So, the number of ways of selecting 4 letters from the word EXAMINATION is:
nCr = 11C4 = 11! / (4! * 7!) = (11 * 10 * 9 * 8) / (4 * 3 * 2 * 1) = 330
Therefore, the correct answer is option A (136) is incorrect.
Additional Information:
The word "EXAMINATION" has 11 letters and the number of ways of selecting k letters from n distinct letters is given by the formula nCk.
In this case, we need to select 4 letters from the word EXAMINATION, so the formula becomes 11C4.
This can be calculated using the formula nCk = n! / k!(n-k)!, where n = 11 and k = 4.
Therefore, 11C4 = 11! / 4!(11-4)! = (11*10*9*8) / (4*3*2*1) = 330.
Hence, the correct answer is 330 and not 136 or any other option given.
To select 4 letters from the word EXAMINATION, we need to use the combination formula.
Combination formula: nCr = n! / r!(n-r)!
where n = total number of elements, r = number of elements to be selected
Using the above formula, we get:
n = 11 (total number of letters in the word EXAMINATION)
r = 4 (number of letters to be selected)
So, the number of ways of selecting 4 letters from the word EXAMINATION is:
nCr = 11C4 = 11! / (4! * 7!) = (11 * 10 * 9 * 8) / (4 * 3 * 2 * 1) = 330
Therefore, the correct answer is option A (136) is incorrect.
Additional Information:
The word "EXAMINATION" has 11 letters and the number of ways of selecting k letters from n distinct letters is given by the formula nCk.
In this case, we need to select 4 letters from the word EXAMINATION, so the formula becomes 11C4.
This can be calculated using the formula nCk = n! / k!(n-k)!, where n = 11 and k = 4.
Therefore, 11C4 = 11! / 4!(11-4)! = (11*10*9*8) / (4*3*2*1) = 330.
Hence, the correct answer is 330 and not 136 or any other option given.
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