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A number lock on a suitcase has 3 wheels each labelled with ten digits 0 to 9. If opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible? Also, find the number of unsuccessful attempts to open the lock.
Concept: undefined >> undefined
Let \[A = \left\{ \phi, \left\{ \phi \right\}, 1, \left\{ 1, \phi \right\}, 2 \right\}\] Which of the following are true? \[\left\{ 1 \right\} \in A\]
Concept: undefined >> undefined
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Let \[A = \left\{ \phi, \left\{ \phi \right\}, 1, \left\{ 1, \phi \right\}, 2 \right\}\]Which of the following are true?\[\left\{ 2 \left\{ 1 \right\} \right\} \not\subset A\]
Concept: undefined >> undefined
Write down all possible subsets of each of the following set:
\[\left\{ \phi \right\}\]
Concept: undefined >> undefined
Evaluate the following:
14C3
Concept: undefined >> undefined
Evaluate the following:
12C10
Concept: undefined >> undefined
Evaluate the following:
35C35
Concept: undefined >> undefined
Evaluate the following:
n + 1Cn
Concept: undefined >> undefined
Evaluate the following:
Concept: undefined >> undefined
If nC12 = nC5, find the value of n.
Concept: undefined >> undefined
If nC4 = nC6, find 12Cn.
Concept: undefined >> undefined
If nC10 = nC12, find 23Cn.
Concept: undefined >> undefined
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 nC4 , nC5 and nC6 are in A.P., then find n.
Concept: undefined >> undefined
