Question
How many 8 digit numbers can be formed using the digits
1, 2, 0, 2, 4, 1, 2, 4 ?Solution
There are 8 digits 1, 2, 0, 2, 4, 1, 2, 4 in which 1 occurs 2 times, 2 occurs 3 times and 4 occurs 2 times ∴ Number of 8 digit numbers = 8!/(2! ×3! ×2!) = 1680 But out of these 1680 numbers there are some numbers which begin with ‘0’ and they are not 8 digit numbers The numbers of such numbers beginning with ‘0’ = 7!/(2! ×3! ×2!) = 210 Hence the required number of 8 digit numbers = 1680 – 210 = 1470
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Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance...
Statement: M > N ≥ P > Q ≥ R > S ≥ T ≥ U > W
Conclusion:
1. U ≤ S
2. S < Q
Statements: M ≥ X ≥ B > V ≤ G = Y > K > U < N
Conclusion
I: G > U
II: V ≤ M
Statements: Z ≥ S > H, C > H, T = O ≥ H
Conclusions:
I. T > C
II. Z > H
Read the given statements and conclusions carefully and decide which of the conclusions logically follow(s) from the statements.
Statements:
Given below are two statements, followed by two conclusions. Assume the given statements to be true even if they vary with commonly known facts. Based o...
Read the given statements and the following conclusions carefully and select which of the conclusions logically follow(s) from the statements.
S...
Statements:
No truck is a bus.
All bus are train. Â
Only a few train are car.
Conclusions:
I. All bus may be car.
Statements: X ≥ P ≥ O = S; S ≤ H < N; N > I
Conclusions:
I. O ≥ N
II. I > O
III. S < X