If 18Cr = 18Cr+2 ; find rC5.
56
63
49
42
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1
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There are three rooms in a motel: one single, one double, and one for four persons. How many ways are there to house seven persons in these rooms?
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10
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Two variants of the CAT paper are to be given to 12 students. In how many ways can the students be placed in two rows of six each so that there should be no identical variants side by side and that the students sitting one behind the other should have the same variant. Find the number of ways this can be done
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2
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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?
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3
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A five-letter word is to be formed from a group of 5 vowels and 4 consonants, using at least one vowel and at least one consonant. In how many ways the word having a greater number of consonants than vowels can be formed?
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4
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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5
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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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6
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From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.
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7
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What is the probability of getting at least one six in a single throw of three unbiased dice?s
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8
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In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
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9
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How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated
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