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.Management Sciences
Category: Permutations and Combinations
There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?
A. 870
B. 435
C. 30!
D. 29! + 1
The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.
A. 4000
B. 2160
C. 4320
D. 5300
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Twelve people from a club, by picking lots. One of them will host a dinner for all once in a month. The number of dinners a particular member has to host in one year is________?
A. One
B. Zero
C. Three
D. Cannot be determined
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A two number committee comprising of one male and the female number is to be constituted out of five male and 3 females. Amongst the females, Ms. A refused to be number committee in which Mr.B is taken as the number of how many different ways can the committee be constituted?
A. 11
B. 30
C. 14
D. 20
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A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?
A. ²²C₁₀
B. ²²C₁₀ + 1
C. ²²C₉ + ¹⁰C₁
D. ²²C₁₀ – 1
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