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If nC4 = nC6, find 12Cn.
Concept: undefined >> undefined
If nC10 = nC12, find 23Cn.
Concept: undefined >> undefined
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f 24Cx = 24C2x + 3, find x.
Concept: undefined >> undefined
If 18Cx = 18Cx + 2, find x.
Concept: undefined >> undefined
If 15C3r = 15Cr + 3, find r.
Concept: undefined >> undefined
If 8Cr − 7C3 = 7C2, find r.
Concept: undefined >> undefined
If 15Cr : 15Cr − 1 = 11 : 5, find r.
Concept: undefined >> undefined
If n +2C8 : n − 2P4 = 57 : 16, find n.
Concept: undefined >> undefined
If 28C2r : 24C2r − 4 = 225 : 11, find r.
Concept: undefined >> undefined
If (1 + i) (1 + 2i) (1 + 3i) .... (1 + ni) = a + ib, then 2.5.10.17.......(1+n2)=
Concept: undefined >> undefined
If \[\frac{( a^2 + 1 )^2}{2a - i} = x + iy, \text { then } x^2 + y^2\] is equal to
Concept: undefined >> undefined
If nC4 , nC5 and nC6 are in A.P., then find n.
Concept: undefined >> undefined
If 2nC3 : nC2 = 44 : 3, find n.
Concept: undefined >> undefined
If 16Cr = 16Cr + 2, find rC4.
Concept: undefined >> undefined
If α = mC2, then find the value of αC2.
Concept: undefined >> undefined
Two finite sets have m and n elements. The number of elements in the power set of first set is 48 more than the total number of elements in power set of the second set. Then, the values of m and n are:
Concept: undefined >> undefined
In a class of 175 students the following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone?
Concept: undefined >> undefined
Suppose \[A_1 , A_2 , . . . , A_{30}\] are thirty sets each having 5 elements and \[B_1 , B_2 , . . . , B_n\] are n sets each with 3 elements. Let \[\cup^{30}_{i = 1} A_i = \cup^n_{j = 1} B_j = S\] and each element of S belong to exactly 10 of the \[A_i 's\]and exactly 9 of the\[B_j 's\] then n is equal to
Concept: undefined >> undefined
If \[x + iy = (1 + i)(1 + 2i)(1 + 3i)\],then x2 + y2 =
Concept: undefined >> undefined
Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second. The values of m and n are respectively
Concept: undefined >> undefined
