A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?
12
10
8
6
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1
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There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
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2
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In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
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3
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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?
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4
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If 18Cr = 18Cr+2 ; find rC5.
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5
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How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
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6
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One red flower, three white flowers, and two blue flowers are arranged in a line such that
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7
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Ten participants are participating in a competition. In how many ways can the first three prizes be won?
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8
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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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9
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In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
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10
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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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