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### Mathematical Skills | Permutation and Computation

 Q. No. 1: Company BELIANCE hosted a party for 8 members of Company AXIAL. In the party no member of AXIAL had interacted with more than three members of BELIANCE. Out of all the members of BELIANCE, three members – each interacted with four members of AXIAL and the remaining members – each interacted with two members of AXIAL. The greatest possible number of members of company BELIANCE in the party is: A : 9 B : 10 C : 11 D : 12 Solution
 Q. No. 2: If F(x, n) be the number of ways of distributing “x” toys to “n” children so that each child receives at the most 2 toys then F(4, 3) = _______? A : 3 B : 6 C : 5 D : 4 Solution
 Q. No. 3: Suppose you have a currency, named Miso, in three denominations: 1 Miso, 10 Misos and 50 Misos. In how many ways can you pay a bill of 107 Misos? A : 17 B : 16 C : 18 D : 19 Solution
 Q. No. 4: The number of ways of arranging n students in a row such that no two boys sit together and no two girls sit together is m(m >100). If one more students is added, then number of ways of arranging as above increases by 200%. The value of n is A : 12 B : 8 C : 9 D : 10 Solution
 Q. No. 5: Some boys are standing on a circle at distinct points. Each possible pair of persons, who are not adjacent, sing a 3 minute song, one pair after another. The total time taken by all the pairs to sing is 1 hour. Find the number of boys? A : 6 B : 7 C : 8 D : 9 Solution
 Q. No. 6: There are 10 seats around a circular table. If 8 men and 2 women have to seated around a circular table, such that no two women have to be separated by at least one man. If P and Q denote the respective number of ways of seating these people around a table when seats are numbered and unnumbered, then P/Q equals A : 9:1 B : 72:7 C : 10:1 D : 8:1 Solution
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 Permutation and Computation Easy Moderate Difficult