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Question 7
Question: Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Find the number of words which have atleast one letter repeated. Answer: Total number of 5 letter words from given 10 letters = 10 5 (if every letter may be repeated a..
Summary
The fundamental principle of counting (F.P.C) states that if an operation can be performed in m different ways and if for each such choice, another operation can be performed in n different ways, then both operations, in succession can be performed in exactly mn different ways. The principle can ..
Summary
>If A, B and C are the matrices which can be multiplied then (a) Matrix multiplication is not commutative, i.e., AB BA (always) (b) Associative law holds good for matrix multiplication, i.e., (AB)C = A(BC) (c) Matrix multiplication is distributive with respect to addition A(B + C) = AB + AC or (A +..
Summary
1 , A 2 ,.....,A n are called the n arithmetic means between a and b. (vii) The sum of n A.M.s between given numbers a and b is equal to n times the A.M. between a and b. (viii) If a, b, c are in A.P., then for any k: (a) a+k, b+k, c+k are in A.P. (b) a-k, b-k, c-k a..
The table shows the number of times the accused males and females got ..
The table shows the number of times the accused males and females got punished by the jury during the last year in a district. Punished Not punished Males 120 180 Females 100 100 At α = 0.01, find the chi-square test value and examine whether ..
Find the values of a and b in the table.5 × 1015 × 10505 &..
Find the values of a and b in the table. 5 × 10 1 5 × 10 50 5 × 10 0 5 × 1 5 5 × 10 - 1 5 × a b => 1.0, 5.0 or 0.1, 0.1 or 10.0, 50.0..
Which property is illustrated in the given expression? 0.6 × (0...
Which property is illustrated in the given expression? 0.6 × (0.7 × 10.0) = (0.6 × 0.7) × 10.0 => Zero property or Commutative property of multiplication or Identity property ..
What is the digit in the tens place in the number? (100 × 5) + (..
What is the digit in the tens place in the number? (100 × 5) + (20 × 1) + (3 × 3) => 2 or 0 or 10 or 20..
What sampling technique is used by a committee of 100 students to asse..
What sampling technique is used by a committee of 100 students to assess any reaction to the introduction of a Pastoral Care into the school time table? => stratified or random or cluster or systematic..
Compare the numbers using appropriate symbol. 7 × 10,000 + 0 &ti..
Compare the numbers using appropriate symbol. 7 × 10,000 + 0 × 1,000 + 5 × 100 + 4 × 10 + 1 × 1 ___ 5 × 10,000 + 4 × 1,000 + 7 × 100 + 8 &..
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