Recent questions tagged permutation-combination

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41
A five digit number is formed using digits $1, 3, 5, 7$ and $9$ without repeating any one of them. What is the sum of all such possible numbers? $6666600$ $6666660$ $6666...
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43
In the adjoining figure, the lines represent one-way roads allowing travel only northwards or only westwards. Along how many distinct routes can a car reach point B from ...
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46
A group of $630$ children is arranged in rows for a group photograph session. Each row contains three fewer children than the row in front of it. What numbers of rows is ...
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47
In a tournament, there are $n$ teams $T_1, T_2 ......., T$ with $n 5$. Each team consists of $k$ players, $k>3$. The following pairs of teams have one player in common:$...
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48
What is the number of distinct terms in the expansion of $(a + b + c)^{20}?$$231$$253$$242$$210$$228$
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49
How many integers, greater than $999$ but not greater than $4000,$ can be formed with the digits $0, 1, 2, 3$ and $4,$ if repetition of digits is allowed?$499$$500$$375$$...
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50
In how many ways 8 persons can be arranged on two round tables consisting of 4 chairs each?a)720b)1260c)2520d)5040