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There are 3 letters and 3 directed envelopes. Write the number of ways in which no letter is put in the correct envelope.

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If 20Cr = 20Cr−10, then 18Cr is equal to

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

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If 20Cr = 20Cr + 4 , then rC3 is equal to

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If 15C3r = 15Cr + 3 , then r is equal to

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If 20Cr + 1 = 20Cr − 1 , then r is equal to

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If C (n, 12) = C (n, 8), then C (22, n) is equal to

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If mC1 nC2 , then

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If nC12 = nC8 , then n =

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If nCr + nCr + 1 = n + 1Cx , then x =

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If\[\ ^{( a^2 - a)}{}{C}_2 = \ ^{( a^2 - a)}{}{C}_4\] , then a =

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

5C1 + 5C2 5C3 + 5C4 +5C5 is equal to

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

There are 12 points in a plane. The number of the straight lines joining any two of them when 3 of them are collinear, is

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

Three persons enter a railway compartment. If there are 5 seats vacant, in how many ways can they take these seats?

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

In how many ways can a committee of 5 be made out of 6 men and 4 women containing at least one women?

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two of them is

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

There are 13 players of cricket, out of which 4 are bowlers. In how many ways a team of eleven be selected from them so as to include at least two bowlers?

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If C0 + C1 + C2 + ... + Cn = 256, then 2nC2 is equal to

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If the nth term an of a sequence is given by an = n2 − n + 1, write down its first five terms.

[8] Sequence and Series
Chapter: [8] Sequence and Series
Concept: undefined >> undefined

The number of ways in which a host lady can invite for a party of 8 out of 12 people of whom two do not want to attend the party together is

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined
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