How many numbers can be formed from 1, 2, 3, 4, 5 (without repetition), when the digit at the unit’s place must be greater than that in the ten’s place?
60
54
51 / 3
2 x 4!
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1
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A committee of 8 members is to be selected from a group of 12 male and 10 female members. In how many ways the committee is selected such that at most two and at least one male member are there in the committee?
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2
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If ^{18}C_{r }= ^{18}C_{r+2 }; find ^{r}C_{5}.
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3
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If a team of 4 persons is to be selected from 8 males and 8 females, then in how many ways can the selections be made to include at least 1 female
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4
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If A, B and C are mutually exclusive and exhaustive events of a random experiment such that P(B)=3/2P(A) and P(C)=1/2P(B), then P(A∪C)=
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5
Discuss

Six boys and 4 girls are to be seated in two separate rows with five chairs each, such that two particular girls are always together and all the girls are not in the same row. In how many ways can they be seated?
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6
Discuss

In a simultaneous throw of two dice, what is the probability of getting a total of 7?
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7
Discuss

How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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8
Discuss

How many words, with or without meaning, can be formed using all letters of the word EQUATION using each letter exactly once?
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9
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Three chairs are arranged in a row facing three other chairs. 4 boys and 2 girls are to be seated on these chairs such that girls are always facing each other. In how many ways can they be seated?
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10
Discuss

A, B, C, D and E sit on five chairs all of which are facing north. C will sit only on the leftmost chair and B will not sit anywhere to the left of A. In how many ways they can be seated?
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