Q. 63.7( 3 Votes )
How many different products can be obtained by multiplying two or more of the numbers 3, 5, 7, 11 (without repetition)?
Answer :
Given that we need to find the no. of ways of obtaining a product by multiplying two or more from the numbers 3, 5, 7, 11.
The following are the cases the product can be done,
i. Multiplying two numbers
ii. Multiplying three numbers
iii. Multiplying four numbers
Let us assume the total numbers of ways of the product be N
⇒ N = (no. of ways of multiplying two numbers) + (no. of ways of multiplying three numbers) + (no. of multiplying four numbers)
⇒ N = 4C2 + 4C3 + 4C4
We know that 
And also n! = (n)(n – 1)(n – 2)…………2.1
⇒ 
⇒ 
⇒ 
⇒ N = 6 + 4 + 1
⇒ N = 11
∴ The total number of ways of product is 11 ways.
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