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Find the number of arrangements that can be made out of the letters of the word “ASSASSINATION”.
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- In how many ways can 8 identical beads be strung on a necklace?
- In how many ways can 8 boys form a ring?
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Find the rank of the word ‘CHAT’ in the dictionary.
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Evaluate the following.
`(3! xx 0! + 0!)/(2!)`
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Evaluate the following.
`(3! + 1!)/(2^2!)`
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Evaluate the following.
`((3!)! xx 2!)/(5!)`
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The possible outcomes when a coin is tossed five times:
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The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for all n ∈ N is:
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If n is a positive integer, then the number of terms in the expansion of (x + a)n is:
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For all n > 0, nC1 + nC2 + nC3 + …… + nCn is equal to:
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The total number of 9 digit number which has all different digit is:
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The number of ways to arrange the letters of the word “CHEESE”:
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The number of words with or without meaning that can be formed using letters of the word “EQUATION”, with no repetition of letters is:
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The number of permutation of n different things taken r at a time, when the repetition is allowed is:
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An examination of 11 applicants for a accountant post was taken by a finance company. The marks obtained by the applicants in the reasoning and aptitude tests are given below.
| Applicant | A | B | C | D | E | F | G | H | I | J | K |
| Reasoning test | 20 | 50 | 28 | 25 | 70 | 90 | 76 | 45 | 30 | 19 | 26 |
| Aptitude test | 30 | 60 | 50 | 40 | 85 | 90 | 56 | 82 | 42 | 31 | 49 |
Calculate Spearman’s rank correlation coefficient from the data given above.
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The following are the ranks obtained by 10 students in commerce and accountancy are given below:
| Commerce | 6 | 4 | 3 | 1 | 2 | 7 | 9 | 8 | 10 | 5 |
| Accountancy | 4 | 1 | 6 | 7 | 5 | 8 | 10 | 9 | 3 | 2 |
To what extent is the knowledge of students in the two subjects related?
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A random sample of recent repair jobs was selected and estimated cost and actual cost were recorded.
| Estimated cost | 300 | 450 | 800 | 250 | 500 | 975 | 475 | 400 |
| Actual cost | 273 | 486 | 734 | 297 | 631 | 872 | 396 | 457 |
Calculate the value of spearman’s correlation coefficient.
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The rank of 10 students of the same batch in two subjects A and B are given below. Calculate the rank correlation coefficient.
| Rank of A | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Rank of B | 6 | 7 | 5 | 10 | 3 | 9 | 4 | 1 | 8 | 2 |
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A random sample of recent repair jobs was selected and estimated cost, actual cost were recorded.
| Estimated cost | 30 | 45 | 80 | 25 | 50 | 97 | 47 | 40 |
| Actual cost | 27 | 48 | 73 | 29 | 63 | 87 | 39 | 45 |
Calculate the value of spearman’s correlation.
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Evaluate the following:
\[\lim_{x->2} \frac{x^3 + 2}{x + 1}\]
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